Chapter 4 Review

Factoring

200

Factor completely.

22v⁴+5v³

v³(22v+5)

400

Factor completely.

9a²-49

(3a+7)(3a-7)

600

Factor completely.

-13a²b+26b³

-13b(a²-2b²)

800

Factor completely.

6t²-14t+4

2(3t-1)(t-2)

1000

Factor completely.

n³-20n²-4n+80

(n+2)(n-2)(n-20)

Factoring

200

Factor completely.

10n-8

2(5n-4)

400

Factor completely.

2x²+11x+5

(2x+1)(x+5)

600

Factor completely.

6y²-7yz-5z²

(2y+z)(3y-5z)

800

Factor completely.

5x³-500x

5x(x+10)(x-10)

1000

Factor completely.

8ax-2bx+16ay-4by

2(4a-b)(x+2y)

Simplifying Radicals

200

Simplify the radical expression completely.

√3 + 3√2 + 2√2

√3 + 5√2

400

Simplify the radical expression completely.

√225 - √125

15 - 5√5

600

Simplify the radical expression completely.

7√5 + √45 - √320

2√5

800

Simplify the radical expression completely.

4√300 + 7√200 - 6√72 - 4√108

16√3 + 34√2

1000

Simplify the radical expression completely.

4√12 - 2√3 + 7√27

27√3

Operations with Radicals

200

Simplify the radical expression completely.

8√3 * -6√6

-144√2

400

Simplify the radical expression completely.

(-3√20)/(2√10)

(-3√2)/2

600

Simplify the radical expression completely.

(11√5)²

605

800

Simplify the radical expression completely.

(-3+√72)/12

(-1+2√2)/4

1000

Simplify the radical expression completely.

(4+√5)(7+√2)²

44 + 11√5 + 16√7 + 4√35

Imaginary Numbers

200

Simplify using i.

i¹⁵

-i

400

Simplify using i.

√-45

3i√5

600

Simplify using i.

7i⁷ * 4i⁴

-28i

800

Simplify using i.

7i²-35i+42

-35(i-1)

1000

Simplify using i.

(5+8i)/16

(5+8i)/16