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.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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