The expression y2 – 10y + 24 has a factor of y – 4. what is another factor of y2 – 10y + 24?

y – 20
y – 14
y – 8
y – 6

y-6

Step-by-step explanation:

There are two methods to solve this problem.

1. Synthetic division of equation with one factor to obtain the other factor.

2. Simple Factorization.

We will do Factorization here:

y² - 10y + 24 = 0

can be written as

ay² + my + b

where a = 1 , m = -10 and b = 24

we will break the midterm into two terms, m1 and m2 such that

the midterm m = m1 + m2 and m = a*b

The equation becomes:

y² - 6y - 4y + 24 = 0

y(y-6) - 4(y-6) = 0

(y-4)(y-6) = 0

So, the factor other than y-4 is 'y-6'.

D on EDG

Step-by-step explanation: