194k views
0 votes
Use the grouping method to factor the polynomial below completely.

x + 2x2 + 5x+10
O A. (+5)(x+2)
O B. (x+5)(x+2)
O C. (+5)(x+5)
O D. (+5)(x+5)
SUBMIT

Lmk

User Sancarn
by
5.2k points

1 Answer

3 votes

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)

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).

User Jonathan Dean
by
4.8k points