SOLUTION: how do i turn -5, 4, and 6 into polynomial funtions with rational coeffients in standard form?

Question 152793: how do i turn -5, 4, and 6 into polynomial funtions with rational coeffients in standard form?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Since , , and are given zeros this means that:

, , and

Get all terms to the left side in each case

, , and

Now use the zero product property in reverse to join the factors.

FOIL

Distribute

Distribute again

Combine like terms

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Answer:

So the polynomial with roots of , , and is

Notice how if we graph , we can visually verify our answer

Graph of with roots of , , and