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

The factoring for this is easiest using the box method. If you don't know it, google "factoring binomials using box method." Its super easy and straight forward.

7x^2 - 3x - 4

(7x + 4) (x - 1)

7x + 4 = 0 and x - 1 = 0

x = - 4/7 and x = 1

In this problem,

a = 7

b = - 3

c = - 4

a*c = 7 * (-4) = - 28

Let m and n be our two numbers. We need

m * n = - 28

m + n = - 3

Solve this system of equations to determine your two numbers!