Question

Question 2(Multiple Choice Worth 1 points)(07.02 MC)Factor completely x³ + 4x² + 8x + 32.O(x + 4)(x² + 8)O(x-4)(x²-8)O(x-4)(x² + 8)○ (x + 4)(x² − 8)

Answer 1

Given -

x³ + 4x² + 8x + 32

To Find -

Factor completely =?

Step-by-Step Explanation -

x³ + 4x² + 8x + 32 can be written as:

= (x³ + 4x²) + 8x + 32

= x²(x + 4) + 8(x + 4)

Now it can be written as:

(x² +8)(x + 4)

So, the complete factor of x³ + 4x² + 8x + 32 is (x + 4)(x² + 8)

Final Answer -

A. (x+4)(x² + 8)