Question

select the correct answer.
find the product of the given polynomials.
$(5x + 8 - 6x)(4 + 2x - 7)$
a. $-2x^2 + 19x - 24$
b. $-2x^2 - 24x + 19$
c. $2x^2 + 19x + 24$
d. $2x^2 + 13x - 24$

Explanation:

Step1: Simplify each polynomial

First, simplify the first polynomial \(5x + 8 - 6x\) by combining like terms: \(5x-6x + 8=-x + 8\).
Then, simplify the second polynomial \(4 + 2x - 7\) by combining like terms: \(2x+(4 - 7)=2x-3\).

Step2: Multiply the simplified polynomials

Now, multiply \((-x + 8)\) and \((2x - 3)\) using the distributive property (FOIL method):

$$
LATEXBLOCK0
$$

Answer:

A. \(-2x^{2} + 19x - 24\)