# Algebra - Polynomials - Practice Problems

1. Simplify the following. (-3x2y-3)3 (x-3y2)

2. Simplify the following. 2x4 - 2x2 + 4x - x4 + 4x2 - 2x + 5

3. Find the following product. ( 3x - 4 ) ( x2 - 2x + 3 )

4. Find the following product. ( 0.3x + 0.2 ) ( 0.3x - 0.2 )

5. The speed of light in vacuum is one hundred eighty six thousand miles per second. Write the speed of light in scientific notation.

6. Perform the division. ( 3x3 + 4x2 - 4x - 6 ) ÷ ( x - 1 )

7. The cost, y, of growing special oranges in dollar as a function of the number of oranges, n, is given by

y = 0.7n + 20.34

Make a plot of the above equation. What is the cost of growing 50 special oranges?

8. What is the slope, x-intercept, and y-intercept of the following line?

3x + 4y = 9

9. a) What is the slope of the following line? y = -7.921

b) What is the slope of the following line? x = 9.124

10. Factor by grouping: 18a3- 24a2b + 15ab2- 20b3

11. Solve the following: 18x2 + 9x - 2 = 0

12. Multiply ( x + 2y )4.

13. Simplify the following expression. (1/2)3 + (1/3)-2 - (1/4)-2

#### Solution Preview

The solution file is attached.

Please answer all 13 questions.

1. Simplify the following. (-3x2y-3)3 (x-3y2)

Given expression = -27 x^6 y^-9 * x^-3 y^2 = -27 x^3 y^-7

2. Simplify the following. 2x4 - 2x2 + 4x - x4 + 4x2 - 2x + 5

Given expression = x^4 + 2x^2 + 2x + 5

3. Find the following product. ( 3x - 4 ) ( x2 - 2x + 3 )

Given expression = 3x(x^2 - 2x + 3) - 4(x^2 - 2x + 3) = 3x^3 - 10x^2 + 17x - 12

4. Find the following product. ( 0.3x + 0.2 ) ...

#### Solution Summary

The expert examines polynomial practice problems. Neat, step-by-step solutions are provided.