Question

Q:

Factor by grouping

2x^2 + x - 28

First, Choose a form with appropriate signs.

Then, fill in the blanks with numbers to be used for grouping

Finally, show the factorization

Answer 1

Explanation:

2x^2 + x - 28

= 2x^2 - 8x + 7x - 28

= 2x(x-4) +7(x-4)

= (2x+7)(x-4)

2x+7 = 0 or x-4 = 0

x = -7/4 or x = 4