Question

Louise begins factoring the polynomial, which has four terms.

4x3 + 12x2 + 5x + 15


4x2(x + 3) + 5(x + 3)


Which is the completely factored form of her polynomial?


4x2(x + 3)2

x(4x2 + 5)

(4x2 + 5) (x + 3)

(4x2 + 5) (x + 3)2

Answer 1

CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Answer 2

Louise wants to factorize completely the given polynomial
`4x^(3)+12x^(2)+5x+15`

Grouping first, second terms together and third, fourth terms together

=
`4x^(3)+12x^(2)+5x+15`

Taking
`4x^(2)` common from first and second terms of the given expression and taking 5 common from the third and fourth terms.

=
`=4x^(2)(x+3)+5(x+3)`

Taking (x+3) common from the given expression,

=
`=(4x^(2)+5)(x+3)` is the completely factored form.