Question

use the method to distribute and simplify (-2x^3 + 4x^2 - 2x + 3)(-4x + 1). drag and drop the terms to the correct locations of the table. (-2x^3 + 4x^2 - 2x + 3)(-4x + 1) -4x: 8x^4 -16x^3 8x^2 -12x 1: -2x^3 4x^2 -2x 3 correct! now write the simplified answer in the box below. answer attempt 1 out of 2 answer: submit answer

Explanation:

Step1: Combine like - terms

We have the terms from the table: \(8x^{4}-16x^{3}+8x^{2}-12x - 2x^{3}+4x^{2}-2x + 3\).
Combine the \(x^{3}\) terms: \(-16x^{3}-2x^{3}=-18x^{3}\).
Combine the \(x^{2}\) terms: \(8x^{2}+4x^{2}=12x^{2}\).
Combine the \(x\) terms: \(-12x-2x=-14x\).

Step2: Write the simplified polynomial

The simplified polynomial is \(8x^{4}-18x^{3}+12x^{2}-14x + 3\).

Answer:

\(8x^{4}-18x^{3}+12x^{2}-14x + 3\)