Question

Factor the polynomial.

3x4 + 6x3 + 9x2

A. (3x2 + 3x)(x2 + 2x)
B. 3x3(x + 2) + 9x2
C. 3x2(x2 + 2x + 3)
D. x2(2x3 + 3x2 + 2x)

Answer 1

3x4+6x3+9x2
Factored: (3x2)(x2+2x+3)

Answer:
C) 3x2(x2+2x+3)

Hope this helps! :)

Answer 2

C. 3x2(x2 + 2x + 3)

Explanation:

In order to factor the polynomial you have to remember the rules of factoring, in this case as they all have the same base, which would be "x", and we will use the lowest exponent in the term, and the least common multiple, the exponen would be x2 and the least common multiple is 3.

So we take out 3x2 and thats our first factor, the second fact is given by the division of our term by 3x2:

`(3x^(4)+6x^(3)+9x^(2))/(3x^(2)) = x^(2)+2x+3`

So the answer to the factorization of the given term would be:

`(x^(2)+2x+3)(3x^(2))`