Which of the binomials below is a factor of this trinomial? x^2+12x+32
A) x+4
B) x+2
C) x-4
D) x-2

Given:

Trinomial

To find:

Binomial factor of the trinomial

Solution:

Given trinomial is .

Let us factor this trinomial.

12x can be written as 4x + 8x.

Take out x common in 1st two terms and 8x common in next two terms.

Make sure that both brackets have common term and take that common from both.

and

These are binomial factors of the given trinomial.

In the option, we have x + 4 only.

Therefore x + 4 is a binomial factor of the trianomial x² + 12x + 32.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)