Question

Pascha is factoring the polynomial, which has four terms.

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Answer:

$(3x^2 + 8)(x - 5)$

Step-by-step explanation:

Given

$3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)$

Required

Complete the factorization

$3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)$

When an equation is factorized as:

$a(b + c) + d(b + c)$

The complete expression is:

$(a + d)(b + c)$

Apply this logic in $3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)$

By comparison:

$a = 3x^2; b = x; c = -5; d = 8$

So, we have:

$3x^3 - 15x^2 + 8x - 40 = (3x^2 + 8)(x - 5)$

Hence,

$(3x^2 + 8)(x - 5)$ is the complete factor