Question

Use the Greatest Common Factor (GCF) to factor the expression 40x + 24y - 56.

a) 1(10x + 6y - 14)
b) 2(5x + 3y - 7)
c) 4(10x + 6y - 14)
d) 8(5x + 3y - 7)

Answer 1

The Greatest Common Factor of the coefficients 40, 24, and 56 is 8. Factoring this out, the expression becomes 8(5x + 3y - 7), which corresponds to option d).

Step-by-step explanation:

To factor the expression 40x + 24y - 56 using the Greatest Common Factor (GCF), we first determine the GCF of the numerical coefficients: 40, 24, and 56. The GCF of these numbers is 8. We then divide each term by 8 and factor it out:

8(5x) + 8(3y) - 8(7)

Thus, factored form of the expression is:

8(5x + 3y - 7)

The correct answer aligns with option d).