Question

select the correct answer.
what is the completely factored form of this expression?
y² - 12y + 32
a. (y + 4)(y + 8)
b. (y - 4)(y - 8)
c. (y + 18)(y + 2)
d. (y - 18)(y - 2)

Explanation:

Step1: Find two numbers

Find two numbers that multiply to 32 and add to -12: -4 and -8.

Step2: Factor the quadratic

Write the quadratic as $(y - 4)(y - 8)$.

Step3: Verify the product

Expand $(y - 4)(y - 8) = y^2 - 8y - 4y + 32 = y^2 - 12y + 32$, which matches the original expression.

Answer:

B. (y - 4)(y - 8)