How many solutions would the equation (𝑥−4)(𝑥+2) = −8 have?

Question

A. One Solution

B. Two Solutions

C. No Solution

Explain your reasoning choosing ___ (A,B,or C)

How can you determine the number of solutions of the graph?

Answer 1

two solutions, x= 0 and x= 2

the degree tells you the number of solutions. this is degree 2,

x^2 -2x -8 = -8

x^2 -2x = 0

x(x-2) = 0

set each factor = 0 and solve for x

x=0,

x-2 =0, x = 2