Question

Find a polynomial f (x) of degree 5 that has the following zeros.–6, 2, 5, 4, – 8Leave your answer in factored form.

Answer 1

The zeros of the polynomial are all the values of x for which the function f(x) equal zero

The zeros are:

x= -6

x + 6 = 0

x = 2

x - 2=0

x=5

x - 5 =0

x=4

x - 4 = 0

x = -8

x + 8 = 0

We can now go ahead and write trhe polynomial as a product of its factor

That is;

f(x) = (x+6)(x-2)(x-5)(x-5)(x+8)