Question

What are the zeros of this function?

f(x) = (x + 4)2 – 9

A)
{-4, 9}

B)
{-4, 4}


C)
{-7, -1}

D)
{-7i7i}

Answer 1

C

Answer 2

If the function is already in factored form, you would take each of the factors, set them equal to zero, and solve. The multiplicity is the power that they are raised to:

x^4
x = 0
Multiplicity 4 (because it was to the fourth power)

(x - 9)^2
x - 9 = 0
x = 9
Multiplicity 2 (because it was squared)