Question 303181
What two numbers when multiplied together will yield -8 but when added will yield -7?

How about -8 and 1?

Then x^2 - 7x - 8 = 0 factors out to be (x + 1)(x - 8).

Now set each factor to equal zero and solve for x.

x + 1 = 0

x = -1.

x - 8 = 0

x = 8

The roots are x = -1 and x = 8.

Originally, I thought this was a calculus question after reading the word INTEGRAL in the sentence.