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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Polynomial FunctionsSection:Solving Polynomial Equations and Inequalities
 

Problem: 1

Solve.

(x – 2)(x – 5) = 0


Problem: 3

Solve the given equation.

(y – 4)(y + 3) = 0


Problem: 5

Solve the given equation.

y2 – 5y + 6 = 0


Problem: 7

Solve the given equation.

x2 + 4x + 4 = 0


Problem: 9

Solve: 3p3 – 21p2 + 30p = 0.


Problem: 11

Solve: 9x3 = 6x2 + 2x


Problem: 13

Determine the real–number solutions of the equation.

3x3 – 6x2 = 0


Problem: 15

Determine the real–number solutions of the equation.

x3 + 64 = 0


Problem: 17

Determine the real–number solutions of the equation.

x4 + x3 – 27x – 27 = 0


Problem: 19

Determine the real–number solutions of the equation.

x4 + 2x3x = 2


Problem: 21

Determine the real–number solutions of the equation.

3x5 – 36x3 = –81x


Problem: 23

What are the real solutions of the equation x5 = 16x?


Problem: 25

Find the missing factor:

4x4 – 400x2 = (?)(x + 10)(x – 10)


Problem: 27

Solve for x.


Problem: 29

Solve for y.

y3 + ay2 = y + a


Problem: 31

Under what conditions placed on x and y is (xy)2 = x2 + y2 true?


Problem: 33

Find all real and imaginary solutions of the equation:

16x5 – 9x3 +16x2 – 9 = 0


Problem: 35

The product of two consecutive even numbers is 224. Find the numbers.


Problem: 1

Solve.

(x – 2)(x – 5) = 0


Problem: 3

Solve the given equation.

(y – 4)(y + 3) = 0


Problem: 5

Solve the given equation.

y2 – 5y + 6 = 0


Problem: 7

Solve the given equation.

x2 + 4x + 4 = 0


Problem: 9

Solve: 3p3 – 21p2 + 30p = 0.


Problem: 11

Solve: 9x3 = 6x2 + 2x


Problem: 13

Determine the real–number solutions of the equation.

3x3 – 6x2 = 0


Problem: 15

Determine the real–number solutions of the equation.

x3 + 64 = 0


Problem: 17

Determine the real–number solutions of the equation.

x4 + x3 – 27x – 27 = 0


Problem: 19

Determine the real–number solutions of the equation.

x4 + 2x3x = 2


Problem: 21

Determine the real–number solutions of the equation.

3x5 – 36x3 = –81x


Problem: 23

What are the real solutions of the equation x5 = 16x?


Problem: 25

Find the missing factor:

4x4 – 400x2 = (?)(x + 10)(x – 10)


Problem: 27

Solve for x.


Problem: 29

Solve for y.

y3 + ay2 = y + a


Problem: 31

Under what conditions placed on x and y is (xy)2 = x2 + y2 true?


Problem: 33

Find all real and imaginary solutions of the equation:

16x5 – 9x3 +16x2 – 9 = 0


Problem: 35

The product of two consecutive even numbers is 224. Find the numbers.