Question

If f(x) = 3x3+ 6x2+ 12x and g(x) = x2, what is the product of f(x) and g(x)?

A) 3x3+ 7x2+ 12x
B) 3x6+ 6x4+ 12x2
C) 6x3+ 12x2+ 24x
D) 3x5+ 6x4+ 12x3

Answer 1

`3x^5+6x^4+12x^3`

Explanation:

Given that,

`f(x) = 3x^3+ 6x^2+ 12x`

and

`g(x)=x^2`

We need to find the product of f(x) and g(x). SO,

`f(x)* g(x)=(3x^3+ 6x^2+ 12x)* (x^2)\\\\=3x^3* x^2+6x^2* x^2+12x* x^2\\\\=3x^5+6x^4+12x^3`

Hence, the correct option is (d).