TheRealSans
contestada

Use the grouping method to factor 5x3 + 15x2 – 2x – 6.

A. (x – 2)(5x2 + 3)
B. 5x(x + 1)(x – 6)
C. (x + 3)(5x2 – 2)
D. (x – 3)(5x2 + 2)

Respuesta :

BLACKBEAR301
The answer is 

C. (x+3)(5x2-2)
SociometricStar

Answer:

[tex](x+3)(5x^2-2)[/tex]

C is the correct option.

Step-by-step explanation:

The given expression is [tex]5x^3+15x^2-2x-6[/tex]

Make groups as shown below to factor

[tex](5x^3+15x^2)+(-2x-6)[/tex]

Now, factored out the GCF from each group

[tex]5x^2(x+3)-2(x+3)[/tex]

Factored out the common term (x+3)

[tex](x+3)(5x^2-2)[/tex]

Therefore, the factored form is [tex](x+3)(5x^2-2)[/tex]

C is the correct option.