Question

Write a polynomilal function in standard form with the given zeros.

1. x = -1, 3, 4

Answer 1

A zero of 'a' means a factor of (x-a). Do that three times. Go!

Answer 2

1, -3, -4?

Answer 3

Yes, those are the zeros. Now, create the corresponding factors.

Answer 4

Yeah i'm not too sure on that lol

Answer 5

It's in my first post. If you have a zero of 'a', make a factor of (x-a). Do it!

Answer 6

Example: If 1 is a "zero" of f(x), then (x-1) is the corresponding factor of f(x).

What are the other two factors?

Answer 7

(x-1)(x+3)(x+4)?

Answer 8

Nope, that woul dbe x+, you need x-. Try again.

Answer 9

(x+1)(x-3)(x-4)

Answer 10

More examples


If \(\Large \color{red}{10}\) is a root (aka "zero") of the function f(x) then \(\Large x-\color{red}{10}\) is a factor of f(x)


If \(\Large \color{blue}{-7}\) is a root of the function f(x) then \(\Large x-(\color{blue}{-7}) = x+7\) is a factor of f(x)


Combined, if we know \(\Large \color{red}{10}\) and \(\Large \color{blue}{-7}\) are roots of f(x), then we know that (x-10)(x+7) is a factorization of f(x). If there are more roots, then there are more factors.

Answer 11

@tkhunny so what do i do next?

Answer 12

@tkhunny

Answer 13

You're sort of done. All that is left is the "Standard Form" part. Multiply things out and line up the exponents in descending order.