Question

Factoring with Algebra Tiles

Answer 1

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 ).

Answer 2

The answers are as follows
3
(2x-3)(x+2)