Question

G(x)=27x^3+125

Find factors of the binomial g(x).

A. g(x)= (3x+5)(9x^2+15x+25)

B. g(x)= (3x-5)(9x^2+15x+25)

C. g(x)= (3x+5) (9x^2-15x+25)

D. g(x)= (3x-5)(9x^2-15x+25)

Answer 1

The answer to your question is: (3x + 5)(9x² - 15x + 25)

Explanation:

Data

G(x) = 27x³ + 125

This is a sum of cubes

Process

`\sqrt[3]{27} = 3`

`\sqrt[3]{125} = 5`

27x³ + 125 = (3x)³ + (5)³ = (3x + 5)(9x² - 15x + 25)