AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYSolving Quadratic Equations: Zero Product Property

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An equation has solutions of m is equal to negative 5 and m is equal to 9 Which could be the equation?

A
open paren m plus 5 close paren times open paren m minus 9 close paren is equal to 0
B
m squared plus 5 m minus 9 is equal to 0
C
m squared minus 5 m plus 9 is equal to 0
D
open paren m minus 5 close paren times open paren m plus 9 close paren is equal to 0
3

Nina knows that the average of the x -intercepts represents the line of symmetry for a quadratic function through the x -axis. Which equation represents the average of the x -intercepts for f of x is equal to 4 x squared minus 24 x plus 20 ?

A
the fraction with numerator 1 plus 5 and denominator 2 is equal to 3
B
the fraction with numerator negative 10 minus 2 and denominator 2 is equal to negative 4
C
the fraction with numerator negative 5 minus 1 and denominator 2 is equal to negative 3
D
the fraction with numerator 2 plus 10 and denominator 2 is equal to 4
5

What are the solutions of 3 x squared plus 14 x plus 16 is equal to 0 ?

A
x is equal to 3 eighths comma 2
B
x is equal to negative 8 thirds comma negative 2
C
x is equal to 8 thirds comma 2
D
x is equal to negative 2 comma negative 3 eighths
6

Which statement describes the graph of f of x is equal to 4 x squared plus 20 x plus 25 ?

A
The graph does not intersect the x -axis.
B
The graph touches the x -axis at negative 2 point 5 comma 0 .
C
The graph intersects the x -axis at negative 0 point 4 comma 0 and 0 point 4 comma 0 .
D
The graph intersects the x -axis at 2 comma 0 and 5 comma 0 .
7

The function g of x is equal to x squared minus 10 x plus 24 is graphed on a coordinate plane. Where will the function cross the x -axis?

A
negative 2 comma 0 and negative 12 comma 0
B
negative 6 comma 0 and negative 4 comma 0
C
4 comma 0 and 6 comma 0
D
12 comma 0 and 2 comma 0
8

The only solution of the equation x squared plus b x plus 16 is equal to 0 is x is equal to 4 What is the value of b ?

A
b is equal to 8
B
b is equal to negative 16
C
b is equal to 16
D
b is equal to negative 8
9

What are the solutions to the equation 0 is equal to x squared minus x minus 6 ? Choose two correct answers.

A
x is equal to 3
B
x is equal to negative 2
C
x is equal to negative 3
D
x is equal to 0
E
x is equal to 2

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