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.

The answers are as follows

3

(2x-3) (x+2)

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).