Question

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 .[blank}
The equivalent factored form is . [blank]

Answer 1

Answer:

Step-by-step explanation:

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

Answer:

3, (2x-3) (x+2)

Step-by-step explanation: