AnswersAlgebra IISolving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring — Quiz Answers

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What are the solutions to the equation open paren 2 x minus 5 close paren times open paren 3 x minus 1 close paren is equal to 0 ?

A
x is equal to negative 5 halves or x is equal to negative 1 third
B
x is equal to 2 fifths or x is equal to 3
C
x is equal to 5 or x is equal to 1
D
x is equal to 5 halves or x is equal to 1 third
2
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What are the solutions to the equation open paren x minus 6 close paren times open paren x plus 8 close paren is equal to 0 ?

A
x is equal to negative 6 or x is equal to 8
B
x is equal to 6 or x is equal to negative 8
C
x is equal to negative 6 or x is equal to negative 8
D
x is equal to 6 or x is equal to 8
3

Use the zero product property to find the solutions to the equation x squared minus 13 x plus 30 is equal to 0

A
x is equal to 3 or x is equal to 10
B
x is equal to negative 3 or x is equal to 10
C
x is equal to negative 10 or x is equal to 3
D
x is equal to negative 10 or x is equal to negative 3
4

Use the zero product property to find the solutions to the equation x squared plus 12 is equal to 7 x

A
x is equal to 3 or x is equal to 4
B
x is equal to negative 3 or x is equal to 4
C
x is equal to negative 4 or x is equal to 3
D
x is equal to negative 4 or x is equal to negative 3
5

Adam is using the equation x times open paren x plus 2 close paren is equal to 255 to find two consecutive odd integers with a product of 255 When Adam solves the problem using the zero product property, what do those solutions represent?

A
a possible “first” integer and a possible “second” integer
B
the two consecutive odd integers with a product of 255
C
two possible “first” integers
D
two possible “second” integers
6

Use the zero product property to find the solutions to the equation open paren x plus 2 close paren times open paren x plus 3 close paren is equal to 12

A
x is equal to 2 or x is equal to 3
B
x is equal to negative 1 or x is equal to 6
C
x is equal to negative 3 or x is equal to negative 2
D
x is equal to negative 6 or x is equal to 1
7

What are the solutions to the equation 3 open paren x minus 4 close paren open paren x plus 5 close paren is equal to 0 ?

A
x is equal to 4 or x is equal to negative 5
B
x is equal to negative 4 or x is equal to 5
C
x is equal to 3 , x is equal to negative 4 , or x is equal to 5
D
x is equal to 3 , x is equal to 4 , or x is equal to negative 5
8

The solutions to a quadratic equation are x is equal to 2 and x is equal to 7 If k is a nonzero constant, which of the following must be equal to the quadratic equation?

A
open paren x minus 2 close paren times open paren x minus 7 close paren plus k is equal to 0
B
open paren x plus 2 close paren times open paren x plus 7 close paren plus k is equal to 0
C
k open paren x minus 2 close paren open paren x minus 7 close paren is equal to 0
D
k open paren x plus 2 close paren open paren x plus 7 close paren is equal to 0
9

What are the solutions to the equation 3 open paren x minus 4 close paren open paren x plus 5 close paren is equal to 0 ?

A
x is equal to negative 4 or x is equal to 5
B
x is equal to 3 , x is equal to 4 , or x is equal to negative 5
C
x is equal to 4 or x is equal to negative 5
D
x is equal to 3 , x is equal to negative 4 , or x is equal to 5

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