So im working with factoring by grouping and factoring trinomials by grouping in my algebra 2 class i need some help with a 6 questions. 1. factor completely : -x-2 2. factor completely: 10xy-5y+18x-9 3.factor completely: 4. what is the factored form of 5.what is the factored form of 6.what is the factored form of

QUESTION POSTED AT 14/12/2019 - 05:42 PM

Answered by admin AT 14/12/2019 - 05:42 PM

15^2-x-2 \\ \\ 225 - x - 2 \\ \\ 223 - x \\ \\ Answer: \fbox {223 - x}

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10xy-5y+18x-9 \\ \\ 5y(2x-1)+9(2x - 1) \\ \\ (2x - 1)(5y + 9) \\ \\ Answer: \fbox {(2x-1)(5y+9)}

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30c^2-20c^2-15c+10 \\ \\ 10c^2 - 15c + 10 \\ \\ Answer: 10c^2 - 15c + 10

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2x^2 + 20x + 50 \\ \\ GCF = 2 \\ \\ 2 (\frac{2x^2}{2} +  \frac{20x}{2} +  \frac{50}{2} ) \\ \\ 2(x^2 + 10 + 25) \\ \\ 2(x^2 + 2(x)(5)+5^2) \\ \\ 2(x + 5)^2 \\ \\ Answer: 2(x + 5)^2

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5x^2+28x+15 \\ \\ 5x^2 + 25x + 3x + 15 \\ \\ 5x(x + 5) + 3(x + 5) \\ \\ (x + 5)(5x + 3) \\ \\ Answer: \fbox {(x + 5)(5x + 3)}

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4x^2-4x + 1 \\ \\ (2x)^2-2(2x)(1)+1^2 \\ \\ (2x - 1)^2 \\ \\ Answer: (2x - 1)^2

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Hope this is what you need - considering I'm not the greatest at trinomials, but I have some characteristics of it. 
Post your answer

Related questions

Y-x=3 in standard form?

Y-x=3 in standard form is 
y=x+3

ANSWERED AT 22/01/2020 - 02:27 AM


QUESTION POSTED AT 22/01/2020 - 02:27 AM

Help please!!!! Algebra question!!!!

D because the units equal up to that

ANSWERED AT 22/01/2020 - 02:25 AM


QUESTION POSTED AT 22/01/2020 - 02:25 AM

What number should be added to both sides of the equation to complete the square? x2 – 10x = 7

we have

x^{2} -10x=7

Complete the square. Remember to balance the equation by adding the same constants to each side

to complete the square adds (10/2)^{2}=25 both sides

so

x^{2} -10x+25=7+25

x^{2} -10x+25=32

Rewrite as perfect squares

(x-5)^{2}=32

Square root both sides

x-5=(+/-)\sqrt{32}

x=5(+/-)\sqrt{32}

x1=5+\sqrt{32}

x2=5-\sqrt{32}

therefore

the answer is

The number is 25




ANSWERED AT 22/01/2020 - 02:18 AM


QUESTION POSTED AT 22/01/2020 - 02:18 AM

7/20 in decimal form

Well, we would have to divide 7 into 20 in order to find the decimal, so 7 divided by 20 = 0.35, so 7/20 as a decimal is 0.35, and if you move the decimal two places to the left, it is also 35%.
I hope I helped! =D

ANSWERED AT 22/01/2020 - 02:15 AM


QUESTION POSTED AT 22/01/2020 - 02:15 AM

Please help!!!! I'm terrible at algebra and I need your help!!!

It will be the third one

ANSWERED AT 22/01/2020 - 02:15 AM


QUESTION POSTED AT 22/01/2020 - 02:15 AM

If alpha and beeta are the zeroes of 3x^2-5x-2, then evaluate alpha cube beeta + alpha beeta cube

1 I think is the answer I hop it helped.

ANSWERED AT 22/01/2020 - 02:13 AM


QUESTION POSTED AT 22/01/2020 - 02:13 AM

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

Answer: The simplest form is, x^3+3x^2+3x-1

Step-by-step explanation:

Given :

A=x + 1

B=x^2+2x-1

C=2x

The given expression is, AB+C

Now put the values of A, B and C in the given expression, we get the simplest form.

AB+C

=(x + 1)\times (x^2+2x-1)+2x

=x^3+2x^2-x+x^2+2x-1+2x

=x^3+3x^2+3x-1

Hence, the simplest form of the given expression is, x^3+3x^2+3x-1

ANSWERED AT 22/01/2020 - 02:11 AM


QUESTION POSTED AT 22/01/2020 - 02:11 AM

What is the solution of this linear system? 4x+y=-1 y=-2x+3

The solution is (-2, 7).

ANSWERED AT 22/01/2020 - 02:09 AM


QUESTION POSTED AT 22/01/2020 - 02:09 AM

Please help!!!!!! Algebra question!!!!!

The answer is d trust me

ANSWERED AT 22/01/2020 - 02:06 AM


QUESTION POSTED AT 22/01/2020 - 02:06 AM

Choose the slope-intercept equation of the line that passes through the point (-2, 4) and is parallel to y = -3x + 6.

Answer:

y=2x+8 is the answer

Step-by-step explanation:


ANSWERED AT 22/01/2020 - 02:06 AM


QUESTION POSTED AT 22/01/2020 - 02:06 AM

The polynomial 16x + 2 is a . Adding the term to the polynomial would make it a trinomial.

Idk b, im stuck on the same thing

ANSWERED AT 22/01/2020 - 02:05 AM


QUESTION POSTED AT 22/01/2020 - 02:05 AM

To solve a problem, we often _________ the given information into algebraic expressions and equations.

We often use the given info

ANSWERED AT 22/01/2020 - 02:05 AM


QUESTION POSTED AT 22/01/2020 - 02:05 AM

There are three monomials such that the greatest common factor of the first and second monomials is 2xy, and the greatest common factor of the second and third monomials is 2x2y. The greatest common factor of the three monomials is


let: m1 = 2xy a m2 = 2xy b m3 = 2x2y c since 2 and 3 have a common factor let b=2n m1 = 2xy a m2 = 2xy 2 n m3 = 2x2y c or simply m1 = 2xy a m2 = 2xy 2n m3 = 2xy 2c given that anc have no common factors

ANSWERED AT 22/01/2020 - 01:55 AM


QUESTION POSTED AT 22/01/2020 - 01:55 AM

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and maximum possible number of terms for the product of these trinomials: (x2 + x + 2)(x2 – 2x + 3). Explain how you arrived at your answer.

To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2 by x2, you add the exponents to get x4. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an x4 term, an x3 term, an  x2 term, an x term, and a constant term. 

ANSWERED AT 22/01/2020 - 01:54 AM


QUESTION POSTED AT 22/01/2020 - 01:54 AM

Work out 5/6 -3/8 give your answer as a fraction in its lowest terms. you must show your working.

5/6 -3/8 = (4*5 -3*3)/24 = (20 -9)/24 = 11/24

ANSWERED AT 22/01/2020 - 01:53 AM


QUESTION POSTED AT 22/01/2020 - 01:53 AM

How to do this Question a please help from the smallest to the biggest

To solve this type of problems, the easiest way to compare is to change them all to fractions, or to decimals, whichever is easier for you.

For the first one, change them all to decimals,
A. 525/1000=0.525
B. 3/4 = 0.750
C. 0.55 =0.550
Thus it will be obvious, whether you'd like smallest to biggest or otherwise.

For the second problem, 
A. 3.85=3.850
B. 3 5/8 = 3.625
C. 3.805 = 3.850

Choose the smallest to biggest.



ANSWERED AT 22/01/2020 - 01:53 AM


QUESTION POSTED AT 22/01/2020 - 01:53 AM

Factor each expression. Problem: 2p^3 + 6p^2 + 3p + 9 Answer: (p + 3) (2p2 + 3)

Factor by grouping
2p^3 + 6p^2 + 3p + 9
2 p^3+6 p^2+3 p+9=\left(2 p^3+6 p^2\right)+(3 p+9)=\left(2 p^2\right) (p+3)+3 (p+3)
2 p^2 (p+3)+3 (p+3)
(p+3) \left(2 p^2+3\right)

ANSWERED AT 22/01/2020 - 01:50 AM


QUESTION POSTED AT 22/01/2020 - 01:50 AM

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph? (−9, −2) (−17, −2) (−2, −17) (−2, −9)

Answer:

Option D is correct.

The coordinate of the vertex of the graph is, (-2, -9)

Step-by-step explanation:

Given the function: f(x)=y= x^2+4x-5

it is given that: the axis of symmetry for a function is, x = -2

Also, the axis of symmetry divides the parabola into two equal parts.

So,  if there is a point on one of the side, there is a  corresponding point on the other side that is the same distance from the axis of symmetry and has the same y-value.

Also, the x-coordinate of the vertex is x = -2.

Substitute the x values in the original equation to find the value of y;

y= (-2)^2+4(-2)-5

y= 4-8-5

Simplify:

y= -9

Therefore, the coordinate of the vertex of the graph is, (-2, -9)


ANSWERED AT 22/01/2020 - 01:49 AM


QUESTION POSTED AT 22/01/2020 - 01:49 AM

Two beauticians, Lydia and Jackie, are working on your hair. Lydia can complete the work in 2 hours, while Jackie can complete the work in 1 hour. How many hours do the beauticians take if they work together? A. one half B.three halvess C.two thirds D.four thirds

Answer:

Option C.

Step-by-step explanation:

Two beauticians Lydia and Jackie are working on your hair.

Lydia takes the time to complete the work = 2 hours

Per hour work done by Lydia = 1/2

Jackie complete the  work = 1 hour

In one hour total work done by both Jackie and Lydia together = 1+\frac{1}{2}=1\frac{1}{2}or \frac{3}{2}

therefore, time taken by both to complete the work will be = \frac{1}{\frac{3}{2} } = \frac{2}{3}

Option C. two thirds is the correct option.

ANSWERED AT 22/01/2020 - 01:47 AM


QUESTION POSTED AT 22/01/2020 - 01:47 AM

Maria rented a coat at $285 for 3 days. If she rents the same coat for 6 days, she has to pay a total rent of $510. Write an equation in the standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days.

The situation above is an arithmetic sequence with the third term (a3) equal to $285 and sixth term (a6) equal to $510. To determine the nth term of the arithmetic sequence, use the equation,
                                     an = a1 + (n - 1)d
where a1 is the first term and d is the common difference. To solve for these, use the given values,
                                 285 = a1 + (3-1)(d)
                                 510 = a1 + (5 -1)(d)
Solving for the unknowns gives an answer of a1 = 60 and d = 112.5.Thus, the equation is,
                                 y = 60 + 112.5x 

ANSWERED AT 22/01/2020 - 01:47 AM


QUESTION POSTED AT 22/01/2020 - 01:47 AM

Factor completely x2 − 10x + 25.

X^2-10x+25 = (x-5)^2 or (x-5)(x-5)

ANSWERED AT 22/01/2020 - 01:47 AM


QUESTION POSTED AT 22/01/2020 - 01:47 AM

For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0? The graph will always have zero x-intercepts. The function will always have a minimum. The y-intercept will always be the vertex. The axis of symmetry will always be positive.

The correct answer is:

The y-intercept will always be the vertex.

Explanation:

The vertex is found by first finding the axis of symmetry, using the formula

x = -b/2a

If b = 0, this gives us

x = 0/2a = 0

This means the point (0, c) will be the vertex.  This is also the y-intercept.

ANSWERED AT 22/01/2020 - 01:44 AM


QUESTION POSTED AT 22/01/2020 - 01:44 AM

What are the factors of m2 – 12m + 20? m – 14 and m – 6 m – 10 and m – 2 m – 9 and m – 3 m – 5 and m – 4

M^2 -12m +20 = m*m -10m -2m +20 = m(m-10) -2(m-10) = 

=(m-10)(m-2)

so the second choice is right sure 

ANSWERED AT 22/01/2020 - 01:43 AM


QUESTION POSTED AT 22/01/2020 - 01:43 AM

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6

We may answer the question above by dividing the expression y² - 10x + 24 with the given factor, y - 4. The division would give an answer of y - 6. Thus,

                                y² - 10x + 24 = (y - 4)(y - 6)

The answer is the fourth choice, y - 6.

ANSWERED AT 22/01/2020 - 01:39 AM


QUESTION POSTED AT 22/01/2020 - 01:39 AM

Factor each expression. Problem: r^2 +12r +27 Answer: (r + 3) (r + 9)

Think of it like this, what two numbers when multiplied together, you get 27, and when they add together, you get 12? The answer is 9 and 3,
Your answer here would be (r+9)(r+3) when factored.

ANSWERED AT 22/01/2020 - 01:39 AM


QUESTION POSTED AT 22/01/2020 - 01:39 AM

Factor each expression. Problem: g^2 - 9 Answer: (g + 3) (g - 3)

g^2-9
The 9 here could be rewritten as 3^2,

g^2-3^2
Factor the difference in these two squares, you get
(g-3)(g+3)

ANSWERED AT 22/01/2020 - 01:38 AM


QUESTION POSTED AT 22/01/2020 - 01:38 AM

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified? x3 + 5x2 + 5x – 2 x3 + 2x2 + 8x – 2 x3 + 11x2 – 2 x3 + 10x2 – 2

To simplify the product obtained by multiplying the binomial and trinomial, combine like terms.
                             x ³ + 3x² - x + 2x² + 6x - 2
                         x³ + (3x² + 2x²) + (-x + 6x) - 2 
Further simplification leads to the answer, 
                            x³ + 5x² + 5x -2
This is the first among the choices. 

ANSWERED AT 22/01/2020 - 01:38 AM


QUESTION POSTED AT 22/01/2020 - 01:38 AM