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?

Answer 1

Let us consider the polynomial

$4x^3+12x^2+5x+15$

Let us take common from first, second terms and third, fourth terms, we get

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

Taking (x+3) common from the above expression, we get

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

Therefore,  $(4x^2+5)(x+3)$ is the complete factored form of the given polynomial.

Answer 2

Answer:

The factorization form of above polynomial is  $(x+3)(4x^{2}+5)$

Step-by-step explanation:

Given polynomial is $4x^{3}+12x^{2}+5x+15$

The above polynomials have 4 terms.Now, we have to completely factorize the above polynomial.

$4x^{3}+12x^{2}+5x+15$

Taking 4x common from first two terms and 5 from last two, we get

⇒ $4x^{2}(x+3)+5(x+3)$

Noe, taking (x+3) common, we get

⇒ $(x+3)(4x^{2}+5)$

This is the factorization form of above polynomial.