Question

Find a polynomial f (x) of degree 4 that has the following zeros.

0, -4, 1, 7
Leave your answer in factored form.​

Answer 1

(x)(x+4)(x-1)(x-7)

Step-by-step explanation:

If one of the zeros is 0, we leave it as x

Since one of the zeroes is -4, take its opposite (4) and add it to x

Since one of the zeroes is 1, take the opposite (-1) and add it to x

Since one of the zeroes is 7, take the opposite (-7) and add it to x

You want the answer to be left in factored form so when we multiply all of them together, we get

(x)*(x+4)(x-1)(x-7)