Solving Quadratic Equations By FactoringSolve each equation by factoring.

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Kuta Software - Infinite Algebra 2 Name___________________________________

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Solving Quadratic Equations By Factoring

Solve each equation by factoring.

1)

(

)(

)

(

)

3)

(

)(

)

(

)(

)

5) 3k² + 72 = 33k 6) n² = −18 − 9n

7) 7v² − 42 = −35v 8) k² = −4k − 4

9) −2v² − v + 12 = −3v² + 6v 10) −4n² + 6n − 16 = −5n²

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11) 8r² + 3r + 2 = 7r² 12) b² + b = 2

13) 10n² − 35 = 65n 14) 3x² − 8x = 16

15) 16n² − 114n = −14 16) 28n² = −96 − 184n

17) 7a² + 32 = 7 − 40a 18) 42x² − 69x + 20 = 7x² − 8

Critical thinking questions. True/False.

19) If a quadratic equation can be factored and each factor contains only real numbers then there cannot be an imaginary solution.

20) If a quadratic equation cannot be factored then it will have at least one imaginary solution.

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Kuta Software - Infinite Algebra 2 Name___________________________________

Period____

Date________________

Solving Quadratic Equations By Factoring

Solve each equation by factoring.

1)

(

)(

)

{

}

2) m

(

)

{3, 0}

3)

(

)(

)

{

}

4)

(

)(

)

{

}

5) 3k² + 72 = 33k

{3, 8}

6) n² = −18 − 9n

{−6, −3}

7) 7v² − 42 = −35v

{−6, 1}

8) k² = −4k − 4

{−2}

9) −2v² − v + 12 = −3v² + 6v

{3, 4}

10) −4n² + 6n − 16 = −5n²

{2, −8}

-1-

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11) 8r² + 3r + 2 = 7r²

{−2, −1}

12) b² + b = 2

{−2, 1}

13) 10n² − 35 = 65n

{

}

14) 3x² − 8x = 16

{

}

15) 16n² − 114n = −14

{

}

16) 28n² = −96 − 184n

{

}

17) 7a² + 32 = 7 − 40a

{

}

18) 42x² − 69x + 20 = 7x² − 8

{

}

Critical thinking questions. True/False.

19) If a quadratic equation can be factored and each factor contains only real numbers then there cannot be an imaginary solution.

True

20) If a quadratic equation cannot be factored then it will have at least one imaginary solution.

False (Example, x² = 10)

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