Subtracting 3x2 + 4x – 5 from 7x2 + x + 9 results in a polynomial. After subtracting 4x2 – 3x from this polynomial, the difference is . NextReset

QUESTION POSTED AT 29/05/2020 - 01:24 AM

Answered by admin AT 29/05/2020 - 01:24 AM

Writing it out in a string of expressions you get this:
7x^2 + x + 9 - (3x^2 + 4x - 5). Now don't forget that that negative sign out in front of the second polynomial changes the signs inside that set of parenthesis. so it would actually be 7x^2+x+9-3x^2-4x+5.  Now let's simplify. 4x^2-3x+14 is that answer.  Now to do the rest of the subraction...4x^2-3x+14-(4x^2-3x).  Again, the negative sign is going to change the signs inside the parenthesis giving us 4x^2-3x+14-4x^2+3x.  The 4x^2 terms cancel out as do the 3x terms, leaving us only with the 14.
Post your answer

Related questions

The lengths of three sides of a quadrilateral are shown below: Side 1: 3y2 + 2y − 6 Side 2: 3y − 7 + 4y2 Side 3: −8 + 5y2 + 4y The perimeter of the quadrilateral is 4y3 + 18y2 + 16y − 26. Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points) Part B: What is the length of the fourth side of the quadrilateral? (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points) QUESTION 2: A rectangle has sides measuring (4x + 5) units and (3x + 10) units. Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points) QUESTION 3: A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 5t, where t represents time in minutes and p represents how far the paint is spreading. The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(p) = πp2. Part A: Find the area of the circle of spilled paint as a function of time, or A[p(t)]. Show your work. (6 points) Part B: How large is the area of spilled paint after 2 minutes? You may use 3.14 to approximate π in this problem. (4 points)

QUESTION POSTED AT 01/06/2020 - 04:46 PM

Twice the difference of a number and 2 is 9

QUESTION POSTED AT 01/06/2020 - 04:37 PM