Chapter 4 Test Review

Column 1

1

Simplify.

(x³y⁴)⁵

x¹⁵y²⁰

2

Simplify.

(3xy⁶)(5x⁴y)

15x⁵y⁷

3

Simplify.

16x⁵y⁸ divided by 4x³y²

4x²y⁶

4

Simplify.

(6x² - 11x + 9) + (3x² + 4x - 5)

9x² -7x + 4

5

(10x³ + 3x² - x - 1) - (7x³ + 2x² - 5x - 8)

3x³ + x² + 4x + 7

Column 2

1

What is the degree and leading coefficient of the function?

f(x) = 5x⁸ - 7x⁶ + 3x⁴ -2x² +12

Degree: 8

Leading Coefficient: 5

2

What is the degree and leading coefficient of the function?

f(x) = -4x⁵ + 2x³ + 7x²

Degree: 5

Leading Coefficient: -4

3

Describe the end behavior of the function.

f(x) = 10x³ -3x² + 4x - 9

Degree: 3 (odd)   LC: 10 (positive)

Left: DOWN    Right: UP

4

Describe the end behavior of the function.

f(x) = -7x⁴ + 6x² + 5x - 8

Degree: 4 (even)   LC: -7 (negative)

Left: DOWN    Right: DOWN

5

Simplify.

-24x⁵y² divided by 8x⁷y⁶

-3x^-2y^-4 

-3/(x²y⁴)

Column 3

1

Divide:

(2x³ - 3x² -17x +30) and (x - 2)

2x² + x - 15

2

Divide:

(2x³ - 3x² -17x + 30) and (x+3)

2x² -9x + 10

3

Find f(-3)

f(x) = 5x² - 9x + 2

74

4

Find f(4)

f(x) = -2x² + 3x - 11

-31

5

Find f(5)

f(x) = -4x³ + 6x² + 10x + 3

-297

Column 4

1

Simplify.

(x + 3)(x - 7)

x² - 4x - 21

2

Simplify.

2x(4x - 3)

8x² - 6x

3

Factor.

15x + 3

3(5x + 1)

4

Factor.

x² - 5x - 6

(x - 6)(x + 1)

5

Factor.

16x² - 9y²

(4x + 3y)(4x - 3y)

Column 5

1

Factor.

x³ - 216

(x - 6)(x² + 6x + 36)

2

Factor.

27x³ + 64

(3x + 4)(9x² - 12x + 16)

3

Solve for x.

x² + 4x - 12 = 0

x = -6, 2

4

Solve for x.

x² = 49

x = -7, 7

5

Solve for x. 

x² - 5x + 3 = 0

x = [5 +/- rt(13)] / 2