Question

Help me out here plz? i'll name u brainliest



Factor completely 2x^3 + 14x^2 + 4x + 28

A) 2(x3 + 7x2 + 2x + 14)
B) (2x + 14)(x2 + 2)
C) 2[(x + 7)(x2 + 2)]
D) (x + 7)(2x2 + 4)

Answer 1

Step-by-step explanation:

2x³ + 14x² + 4x + 28

2(x³) + 2(7x²) + 2(2x) + 2(14)

2(x³ + 7x² + 2x + 14)

2(x²(x) + x²(7) + 2(x) + 2(7))

2(x²(x + 7) + 2(x + 7))

2(x² + 2)(x + 7)

The answer is C.

Answer 2

Answer:

2[x + 7][x² + 2]

Step-by-step explanation:

[2x³ + 14x²] + [4x + 28]

2x²[x + 7] + 4[x + 7]

[x + 7][2x² + 4]

↑

[x + 7]2[x² + 2]

2[x + 7][x² + 2]

When finding the Greatest Common Factor [GCF] of exponents, variables, and coefficients, you factor out the coefficient's common factor ALONG WITH THE LEAST DEGREE TERM POSSIBLE.

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.