Question

The first step in the process for factoring the trinomial x^2-4x-32 is to:

A. find the sum of the factors of 4
B. list all the factors of the 4
C. find the sum of the factors of 32
D. list all the factors of 32

Answer 1

Answer:

The first step for factoring is "List all the factors of 32"

D is correct

Step-by-step explanation:

Given: $x^2-4x-32$

It is trinomial term.

For factor the trinomial first we find all the factors of constant term (32)

Here constant term is 32

We have to find all the factors of 32 and then choose correct pair of factor whose sum is middle term 4.

Step 1: List all the factors of constant term (32)

Step 2: find the sum of the factor of 32 is equal to 4

Step 3: Split the middle term 4 ad sum of of two factor

Step 4: Make two groups and factor each one

Step 5: Factor completely

$\Rightarrow x^2-4x-32$

$\Rightarrow x^2-8x+4x-32$

$\Rightarrow (x^2-8x)+(4x-32)$

$\Rightarrow x(x-8)+4(x-8)$

$\Rightarrow (x-8)(x+4)$

Hence, The first step for factoring is "List all the factors of 32"

Answer 2

Answer: c) find the sum of the factors of 32

Step-by-step explanation: