Question

X^2+10x+24 factor as the product of two binomials

Answer 1

Answer:

x= -6 x= -4

Step-by-step explanation:

Set up the X and put 10 in the top triangle and 24 in the bottom triangle.

FInd two numbers that add to make 10 and multiply to make 24.

Set each of the numbers equal to zero and solve for x.

You should end up with the inverse sign on each of the numbers.

Answer 2

Answer:

(x + 4)(x + 6)

Step-by-step explanation:

Given

x² + 10x + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 10)

The factors are + 4 and + 6 , since

4 × 6 = 24 and 4 + 6 = 10, thus

x² + 10x + 24 = (x + 4)(x + 6)