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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

2 Answers

1 vote

Answer:

CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

User Abel Valdez
by
8.4k points
2 votes

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.

User Shourya
by
8.1k points
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