Question

The factorization of a trinomial is modeled with algebra tiles. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled x, 2 are labeled negative. 4 tiles are in the Factor 2 spot: 1 is labeled x and 4 are labeled. 12 tiles are in the Product spot: 1 is labeled x squared, 2 are labeled negative x, the 3 tiles below x squared are labeled x, and the 6 tiles below the negative x tiles are labeled negative. Which trinomial is factored? x2 3x – 6 x2 5x – 6 x2 3x – 2 x2 x – 6.

Answer 1

The trinomial factors are $\rm (x-3)(x-2)$.

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots  is given by:

$\rm f(x) =a(x-x_1)(x-x_2).......(x-x_n)$

Where a is the leading coefficient.

In this problem, the polynomial is:

$\rm x^2-5x+6=0$

Which is a quadratic equation with coefficients;

a = 1, b = -5, and c = 6

Then,

The trinomial factors are;

$\rm x^2-5x+6=0\\\\\rm x^2--3x-2x+6=0\\\\x(x-3)-2(x-3)=0\\\\ (x-3)(x-2)=0$

Hence, the trinomial factors are $\rm (x-3)(x-2)$.

To know more about the Factor theorem click the link given below.

https://brainly.com/question/12959513

Answer 2

Answer:

A

Step-by-step explanation:

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