Question

What multiplies to -40 and adds to 1?

A) Factoring Quadratics
B) Prime Factorization
C) Polynomial Division
D) Rational Expressions

Answer 1

To find two numbers that multiply to -40 and add to 1, we can use factoring quadratics. However, there are no two numbers that satisfy these conditions.

Step-by-step explanation:

To find two numbers that multiply to -40 and add to 1, we can use factoring quadratics. Let's assume the two numbers are 'x' and 'y'. The product of these numbers is xy = -40 and the sum is x+y = 1. We can rewrite the second equation as y = 1-x and substitute it into the first equation:

xy = -40

x(1-x) = -40

-x^2 + x = -40

x^2 - x + 40 = 0

This quadratic equation does not have real solutions, so there are no two numbers that satisfy the given conditions.