Question

Choose the function that has two different zeros.

A.j(x) = x2 + 6x + 9
B.k(x) = x2 – 8x + 16
C.h(x) = x2 + 2x + 1
D.g(x) = x2 – 64

Answer 1

D

Explanation:

The first 3 are perfect squares and have 2 equal zeros

j(x) = x² + 6x + 9 = (x + 3)² with zeros x = - 3 , multiplicity of 2

k(x) = x² - 8x + 16 = (x - 4)² with zeros x = 4 , multiplicity of 2

h(x) = x² + 2x + 1 = (x + 1)² with zeros x = - 1 , multiplicity of 2

g(x)

x² - 64 is a difference of squares

(x - 8)(x + 8) = 0

with zeros x = - 8, x = 8 ← 2 different zeros