Find a cubic function with the given zeros. 7, -3, 2

Question

Find a cubic function with the given zeros.  7, -3, 2

tkhunny · Answer

A zero of 7 implies a factor of (x-7).

You do the other two.

anonymous · Answer

no im so confused

anonymous · Answer

wait no x+3  x- 2

tkhunny · Answer

That was very short and very delightful confusion.

Now you have three factors.  Multiply them to find the polynomial.

anonymous · Answer

yea when i reread your way it kinda poped in my head adn (x-7)(x+3)(x+2)?

tkhunny · Answer

Very good.  Time to practice multiplication.

anonymous · Answer

\[x ^{3} - 8^{2} - 20+21 is what i got

anonymous · Answer

is this right?

tkhunny · Answer

It should end with 42.

anonymous · Answer

but then you combine like terms

goformit100 · Answer

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tkhunny · Answer

No, after you are all done, it must end with 42.  How do I know that?