The binomial (y - 2) is a factor of y² - 10y + 16. What is the other factor?

Solution:

Given:

Equation is y² - 10y + 16

Factoring a quadratic equation provides the roots.

There are basically 4 methods which can be used here:

Splitting the middle term

Factoring the GCD

By using the algebraic identities

By using the quadratic formula

Here we use the splitting up of the middle term

= y² - 2y - 8y + 16

Taking out the common terms

= y(y - 2) - 8(y - 2)

So we get,

= (y - 2)(y - 8)

Therefore, the other factor is (y - 8).

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The binomial (y - 2) is a factor of y² - 10y + 16. What is the other factor?

Summary:

The binomial (y - 2) is a factor of y² - 10y + 16. The other factor is (y - 8).