Question

The following expression is being factored. select the two values(with the correct signs) that will fill in the gaps of the parentheses.

x^2 - 10x + 24 = (x ) (x )

-4
+2
+12
-12
+4
+6
-2
-6

Answer 1

-4, -6

Explanation:

You want the constants that go into the binomial factors of x² -10x +24.

Factors

The binomial constants used in the factors must have ...

a product of +24

a sum of -10.

The positive product means the two factors have the same sign. The negative sum tells you both signs are negative. The negative answer choices are -2, -4, -6. The only pair with a sum of -10 and a product of +24 is -4 and -6.

= (x -4)(x -6)