Question

Ax2 + bx + c

Factor the trinomial 7x2 – 3x – 4.
Which pair of numbers has a product of ac and a sum
of b?
ac
What is the factored form of the trinomial?

Answer 1

Answer: (7x + 4)(x - 1)

Explanation:

7x^2 - 3x - 4

ax^2 = 7x^2

bx = -3x

c = - 4

4 x -7 = -28

4 + -7 = -3

4 and -7 are the number which ahs the product of ac = -28 and b = -3.

factored form :
`7x^(2) - 7x + 4x - 4`

=
`7x(x - 1) + 4(x - 1)`

=
`(7x + 4)(x - 1)`

Answer 2

1. -7 and 4

2. (7x + 4)(x - 1)