Question

Factor the polynomial completely. That is, once you are finished factoring, none of the factors you obtain should be factorable:

3x^2 + 15xy + 18y^2

Answer 1

3x^(2)+15xy+18y^(2)

Factor out the GCF of 3 from the expression 3x^(2).
3(x^(2))+15xy+18y^(2)

Factor out the GCF of 3 from the expression 15xy.
3(x^(2))+3(5xy)+18y^(2)

Factor out the GCF of 3 from the expression 18y^(2).
3(x^(2))+3(5xy)+3(6y^(2))

Factor out the GCF of 3 from 3x^(2)+15xy+18y^(2).
3(x^(2)+5xy+6y^(2))

In this problem 3*2=6 and 3+2=5, so insert 3 as the right hand term of one factor and 2 as the right-hand term of the other factor.
3(x+3y)(x+2y)

Answer 2

Thank you, next question.