Quadratic Zero Equations Sample Problems

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These sample problems below for Quadratic Zero Equations were generated by the MathScore.com engine.

Sample Problems For Quadratic Zero Equations

Complexity=1, Mode=simple

Factor the expression and solve for the zeros. Write answers in ascending order, separated by commas. Example: x=-3/2,2

1. x² + 8x + 15 = 0
x =

2. x² + 6x + 8 = 0
x =

Complexity=3, Mode=prefix

Factor the expression and solve for the zeros. Write answers in ascending order, separated by commas. Example: x=-3/2,2

1. ^-7x³ + 105x² + 238x = 0
x =

2. x³ + 10x² - 39x = 0
x =

Complexity=3, Mode=frontConst

Factor the expression and solve for the zeros. Write answers in ascending order, separated by commas. Example: x=-3/2,2

1. 2x³ - 13x² + 18x = 0
x =

2. 4x³ - 10x² - 104x = 0
x =

Complexity=4, Mode=frontConst

Factor the expression and solve for the zeros. Write answers in ascending order, separated by commas. Example: x=-3/2,2

1. 2x³ - 4x² - 6x = 0
x =

2. 4x³ - 38x² - 42x = 0
x =

Answers

Complexity=1, Mode=simple

Factor the expression and solve for the zeros. Write answers in ascending order, separated by commas. Example: x=-3/2,2

#	Problem	Correct Answer	Your Answer
1	x² + 8x + 15 = 0	x =
Solution Factor to get (x + 3)(x + 5) = 0 Now solve each fragment for 0 x + 3 = 0 x = -3 x + 5 = 0 x = -5

Problem

Correct Answer

Your Answer

x² + 8x + 15 = 0

x =

Solution
Factor to get (x + 3)(x + 5) = 0

Now solve each fragment for 0

x + 3 = 0
x = -3

x + 5 = 0
x = -5

#	Problem	Correct Answer	Your Answer
2	x² + 6x + 8 = 0	x =
Solution Factor to get (x + 2)(x + 4) = 0 Now solve each fragment for 0 x + 2 = 0 x = -2 x + 4 = 0 x = -4

Problem

Correct Answer

Your Answer

x² + 6x + 8 = 0

x =

Solution
Factor to get (x + 2)(x + 4) = 0

Now solve each fragment for 0

x + 2 = 0
x = -2

x + 4 = 0
x = -4

Complexity=3, Mode=prefix

Factor the expression and solve for the zeros. Write answers in ascending order, separated by commas. Example: x=-3/2,2

#	Problem	Correct Answer	Your Answer
1	^-7x³ + 105x² + 238x = 0	x =
Solution Factor to get ^-7x(x + 2)(x - 17) = 0 Now solve each fragment for 0 ^-7x = 0 x = 0 x + 2 = 0 x = -2 x - 17 = 0 x = 17

Problem

Correct Answer

Your Answer

^-7x³ + 105x² + 238x = 0

x =

Solution
Factor to get ^-7x(x + 2)(x - 17) = 0

Now solve each fragment for 0

^-7x = 0
x = 0

x + 2 = 0
x = -2

x - 17 = 0
x = 17

#	Problem	Correct Answer	Your Answer
2	x³ + 10x² - 39x = 0	x =
Solution Factor to get x(x + 13)(x - 3) = 0 Now solve each fragment for 0 x = 0 x = 0 x + 13 = 0 x = -13 x - 3 = 0 x = 3

Problem

Correct Answer

Your Answer

x³ + 10x² - 39x = 0

x =

Solution
Factor to get x(x + 13)(x - 3) = 0

Now solve each fragment for 0

x = 0
x = 0

x + 13 = 0
x = -13

x - 3 = 0
x = 3

Complexity=3, Mode=frontConst

Factor the expression and solve for the zeros. Write answers in ascending order, separated by commas. Example: x=-3/2,2

#	Problem	Correct Answer	Your Answer
1	2x³ - 13x² + 18x = 0	x =
Solution Factor to get x(x - 2)(2x - 9) = 0 Now solve each fragment for 0 x = 0 x = 0 x - 2 = 0 x = 2 2x - 9 = 0 x = 9/2

Problem

Correct Answer

Your Answer

2x³ - 13x² + 18x = 0

x =

Solution
Factor to get x(x - 2)(2x - 9) = 0

Now solve each fragment for 0

x = 0
x = 0

x - 2 = 0
x = 2

2x - 9 = 0
x = 9/2

#	Problem	Correct Answer	Your Answer
2	4x³ - 10x² - 104x = 0	x =
Solution Factor to get 2x(x + 4)(2x - 13) = 0 Now solve each fragment for 0 2x = 0 x = 0 x + 4 = 0 x = -4 2x - 13 = 0 x = 13/2

Problem

Correct Answer

Your Answer

4x³ - 10x² - 104x = 0

x =

Solution
Factor to get 2x(x + 4)(2x - 13) = 0

Now solve each fragment for 0

2x = 0
x = 0

x + 4 = 0
x = -4

2x - 13 = 0
x = 13/2

Complexity=4, Mode=frontConst

Factor the expression and solve for the zeros. Write answers in ascending order, separated by commas. Example: x=-3/2,2

#	Problem	Correct Answer	Your Answer
1	2x³ - 4x² - 6x = 0	x =
Solution Factor to get 2x(x + 1)(x - 3) = 0 Now solve each fragment for 0 2x = 0 x = 0 x + 1 = 0 x = -1 x - 3 = 0 x = 3

Problem

Correct Answer

Your Answer

2x³ - 4x² - 6x = 0

x =

Solution
Factor to get 2x(x + 1)(x - 3) = 0

Now solve each fragment for 0

2x = 0
x = 0

x + 1 = 0
x = -1

x - 3 = 0
x = 3

#	Problem	Correct Answer	Your Answer
2	4x³ - 38x² - 42x = 0	x =
Solution Factor to get 2x(x + 1)(2x - 21) = 0 Now solve each fragment for 0 2x = 0 x = 0 x + 1 = 0 x = -1 2x - 21 = 0 x = 21/2

Problem

Correct Answer

Your Answer

4x³ - 38x² - 42x = 0

x =

Solution
Factor to get 2x(x + 1)(2x - 21) = 0

Now solve each fragment for 0

2x = 0
x = 0

x + 1 = 0
x = -1

2x - 21 = 0
x = 21/2

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