Math 2 Unit 1 Review

Polynomial Operations

100

4x^2-x+2x^2+3x

6x^2+2x

200

(-4x^4+3x^2+14)+(-3x^4-14x^2-8)

-7x^4-11x^2+6

300

(6x^7-4x^5+11x^4+2x)-(4x^7-7x^5+3x^4-x)

2x^7+3x^5+8x^4+3x

400

(2x-3)(5x+6)

10x^2-3x-18

500

(2x-3)^2

4x^2-12x+9

Exponent Rules

100

(4x³)(5x²)

20x⁵

200

(3y⁴)³

27y¹²

300

5a^-2b⁴

(5b^4)/a^2

400

(14x^2y^8)/(7x^2y^7)

2y

500

((6w^7)^2)/(4w^11)

9w³

Simplifying Radicals

100

sqrt(75

5sqrt3

200

sqrt128

8sqrt2

300

sqrt(48x^6)

4x^3sqrt3

400

sqrt(72a^5b^8)

6a^2b^4sqrt(2a)

500

root(3)(54x^7y^3)

3x^2yroot(3)(2x)

Radical Operations

100

4sqrt5+8sqrt5-3sqrt5

9sqrt5

200

3sqrt2+2sqrt18

9sqrt2

300

(2sqrt6)(5sqrt3)

30sqrt2

400

(sqrt56)/(sqrt7)

2sqrt2

500

(3+sqrt2)(4-sqrt2)

10+sqrt2

Imaginary Numbers

100

Rational or Irrational?

sqrt11

Irrational

200

What is the value of i²

-1

300

Simplify using i: 

sqrt(-36)

6i

400

(8+5i)-(3-2i)

5+7i

500

(-6i)(4i)(i)

24i