Question

Identify the factor pairs of ac you could use to rewrite b to factor each trinomial by grouping. (27, 29, 31)

(IMAGE)

Answer 1

Explanation:

(27)
`7x^2` + 9x + 2

=
`7x^2` + 7x + 2x + 2

= 7x(x+1) + 2(x+1)

= (7x+2)(x+1)

(29)
`8x^2` - 2x - 1

=
`8x^2` - 4x +2x - 1

= 4x(2x-1) +1(2x-1)

= (4x+1)(2x-1)

(31)
`15x^2` - 16x - 7

=
`15x^2` + 5x - 21x - 7

= 5x(3x + 1) - 7(3x+1)

= (5x-7)(3x+1)