Math Practice Online > free > lessons > Florida > 9th grade > Quadratic Zero Equations

If your child needs math practice, click here.

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.   x 2 + 8x + 15 = 0 x = 2.   x 2 + 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.   - 7x 3 + 105x 2 + 238x = 0 x = 2.   x 3 + 10x 2 - 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.   2x 3 - 13x 2 + 18x = 0 x = 2.   4x 3 - 10x 2 - 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.   2x 3 - 4x 2 - 6x = 0 x = 2.   4x 3 - 38x 2 - 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
#ProblemCorrect AnswerYour Answer
1x 2 + 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

#ProblemCorrect AnswerYour Answer
2x 2 + 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
#ProblemCorrect AnswerYour Answer
1- 7x 3 + 105x 2 + 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

#ProblemCorrect AnswerYour Answer
2x 3 + 10x 2 - 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
#ProblemCorrect AnswerYour Answer
12x 3 - 13x 2 + 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

#ProblemCorrect AnswerYour Answer
24x 3 - 10x 2 - 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
#ProblemCorrect AnswerYour Answer
12x 3 - 4x 2 - 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

#ProblemCorrect AnswerYour Answer
24x 3 - 38x 2 - 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

MathScore.com

Copyright Accurate Learning Systems Corporation 2008.
MathScore is a registered trademark.