Question

Factoring with Algebra Tiles Represent the quadratic polynomial 2x2 + x – 6 using algebra tiles and determine the equivalent factored form. The number of zero pairs needed to model this polynomial is . The equivalent factored form is .

Answer 1

Answer:

Two zero pair

$f(x)=(2x-3)(x+2)$    

Step-by-step explanation:

We are given the following quadratic equation:

$f(x) = 2x^2+x-6$

Since, this a quadratic equation we would have two zero pairs for this model.

Factored form of polynomial:

$f(x) = 2x^2+x-6\\f(x)=2x^2+ 4x -3x -6\\f(x)=2x(x+2)-3(x+2)\\f(x)=(2x-3)(x+2)$

is the required factored form of the given polynomial.