Provide an appropriate response.A student says that the equation(z - 1)(z + 2) = 2 can be solved as follows: z - 1 = 2 or z + 2 = 1.If this is correct, explain why. If it is not correct, explain why and give the correct method.
What will be an ideal response?
This is not correct. The zero-factor property only works when the right side of the equation is zero. The left side of the equation must be expanded and -2 must be added to both sides of the equation in order to make the right side equal to zero. Then the left side may be factored and the zero-factor property applied.
You might also like to view...
Write a formula for the nth term of the geometric sequence.8, -16, 32, -64, 128, . . .
A. an = 8(-2)n - 1 B. an = 8(-2)n C. an = 8(-2n) D. an = a1 - 2n
Graph the line having the specified slope and containing the point indicated.m = - 
, (10, 0)
A. 
B. 
C. 
D. 
Perform the division.(x2 - 4) ÷ (x + 2)
A. x - 4 B. x + 4 C. x2 - 2 D. x - 2
Solve the problem.How many different license plates can be made using 3 letters followed by 2 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?
A. 1,123,200 B. 117,000 C. 1,757,600 D. 1,404,000