They are also the values of x that, when plugged into a function, cause the value of the function to be zero.

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Zeros are just x-intercepts

The Zeros and Factors of a Function are related

​f(x)= (x-1) x² (x+3)³

As we discussed earlier in the year, you can divide polynomials (using the box)

Just like in normal division, there could be a reminder, but there may not be one

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The remainder theorem

​When you divide a polynomial by another polynomial, there are few things to understand

• If there is no remainder, that means the polynomial you divided by is a FACTOR of the first polynomial

• If there is any remainder at all, then it's not a factor.

• Rather than doing the entire division, you could simply plug in the number associated with the factor. This would give you the remainder

For Example...

So then is (x+2) a factor?

The triangle

A question might be:

If (x-2) is a factor of the function f(x)= x³ + 7x² - 10x - 16. What must be true?

​A.) f(-2)=0

B.) f(0)=2

C.) f(2)=-2

D.) f(0)=-2

E.) f(2)=0