The matching between polynomial with its factorization is:
Letter A - Number 5
Letter B - Number 1
Letter C - Number 2
Letter D - Number 4
Letter E - Number 6
Letter F - Number 3
In math, the factoring or factorization is used to write an algebraic expression in factors.
The question gives a polynomial and asks your respective factorization. For solving this exercise, you should calculate the multiplication between the terms and after that you should match the result with given equations.
Multiplying the terms, you will have:
x²-3x+5x-15=x²+2x-15
Therefore, the letter a match with the equation 5.
Multiplying the terms, you will have:
2(x²+4x-4x-16)=2(x²-16)=2x²-32
Therefore, the letter b match with the equation 1.
Multiplying the terms, you will have:
(x-8)*(x-8)=x²-8x-8x+64=x²-16x+64
Therefore, the letter c match with the equation 2.
Multiplying the terms, you will have:
7x-x²+21-3x= -x²+4x+21
Therefore, the letter d match with the equation 4.
Multiplying the terms, you will have:
x+2-5x²-10x= -5x²-9x+2
Therefore, the letter e match with the equation 6.
See, the equation 6 is 4-9x-2-5x²=-5x²-9x+2.
Multiplying the terms, you will have:
( x – 3)( x + 3)( x² + 9)= (x²-3x+3x-9)(x²+9)= (x²-9)(x²+9)= x²-81
Therefore, the letter f match with the equation 3.
Learn more about the factoring here:
https://brainly.com/question/11579257
