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)

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

Step-by-step 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.

a = 11 : 4

b = 38

c = 1 for every 6