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.

We have to determine the equivalent factored form for the quadratic polynomial:

2 x² + x - 6

2 x² + x - 6 = 2 x² + 4 x - 3 x - 6 =

= 2 x (x + 2) - 3 (x + 2) =

= (x + 2) (2 x - 3).

Zero pairs:

x + 2 = 0

x = - 2;

2 x - 3 = 0

2 x = 3

x = 3 / 2

Answer:

The number of zero pairs needed to model this polynomial is : two (x = - 2 and x = 3/2).

The equivalent factored form is: (x + 2) (2 x - 3).

The answers are as follows

3

(2x-3) (x+2)