Question

The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.

10x3 + 35x2 − 4x − 14

5x2(____) − 2(____)

What is the common factor that is missing from both sets of parentheses?

Answer 1

The answer is "
`2x+7`".

Explanation:

In this question, it can measure this using the following step if you'd like to find the missing element in both types of parentheses:

`\to 10x^3 + 35x^2 - 4x - 14 \\\\\to (5x^2-2) (2x+7)\\\\\to 5x^2 (2x + 7) - 2 (2x + 7)\\`

So, the correct answer would be (2x + 7).