Question

Factor the polynomial.

5x^4+10x^3+15x^2

A. 3x^2(5x^3+3x^2+2x)
B. (5x^2+2x)(x^2+5x)
C. 2x^3(x+2)+5x^2
D. 5x^2(x^2+2x+3)

Answer 1

5x^2(x^2+2x+3) is the correct answer

Answer 2

D. 5x^2(x^2+2x+3)

Explanation:

Factorization involves the algebraic expression in such a manner that there are two groups with a common element between them.

As such, given 5x^4+10x^3+15x^2

The common factor among all 3 individual elements of the expression is 5x^2. taking this out of each element, the factors left are as shown below.

5x^4+10x^3+15x^2 = 5x^2(x^2 + 2x + 3)

D. 5x^2(x^2+2x+3) is the right option.