Question

Use the grouping method to factor the polynomial below completely.

Answer 1

The question above is incomplete because the question and the options given are not properly written

Complete question

Use the grouping method to factor the polynomial below completely.

x³ + 2x² + 5x+10

O A. (+5)(x+2)

O B. (x²+5)(x+2)

O C. (+5)(x+5)

O D. (+5)(x+5)

Answer:

O B. (x²+5)(x+2)

Step-by-step explanation:

From the above question, we are given the polynomial:

x³ + 2x² + 5x+10

Using the grouping method to factor the polynomial

= x³ + 5x +2x² + 10

= (x³ + 5x) +(2x² + 10)

= x(x² + 5) +2(x² + 5)

= (x + 2) (x² + 5)

Therefore, the factor of the polynomial x³ + 2x² + 5x + 10 is (x + 2) (x² + 5).