Show:
Adding/Subtracting/ Multiplying
Simplifying Radicals
Solving by Factoring
Solving with Square Roots
Solving with Quadratic Formula
100

Add the polynomials:

(x2 + 4x - 3) + (2x2 - 2x + 5)

3x2 + 2x + 2

100

Express in simplest radical form:

√8

2√2

100

Solve by factoring:

x2 + 7x + 10 = 0

x=-2, x=-5

100

Solve using square roots:

x2 - 49 = 0

x=7, x=-7

100

Identify A, B, and C:

x2 + 4x - 1 = 0

A=1, B=4, C=-1

200

Add the polynomials:

(2x2 - 5x - 3) + (x2 - 4x - 5)

3x2 - 9x - 8

200

Express in simplest radical form:

√48

4√3

200

Solve by factoring:

x2 + 9x + 20 = 0

x=-4, x=-5

200

2x2 - 40 = 10

x=5, x=-5

200

Solve using the quadratic formula:

x2 - 4x - 1 = 0

x=4.236, x=-0.236

300

Subtract the polynomials:

(2x2 - 5x + 5) - (x2 + 4x - 9)

x2 - 9x + 14

300

Express in simplest radical form:

√-54

3i√6

300

Solve by factoring:

x2 + 3x - 28 = 0

x=-7, x=4

300

-3x2 + 48 = 0

x=4, x=-4

300

Solve using the quadratic formula:

x2 - 7x + 12 = 0

x=4, x=3

400

Multiply:

(x - 4)(2x + 10)

2x2 + 2x - 40

400

Express in simplest radical form:

√-98

7i√2

400

Solve by factoring:

x2 - 7x + 12 = 0

x=3, x=4

400

(x - 4)2 + 8 = 44

x=10, x=-2

400

Solve using the quadratic formula:

x2 - 5x - 21 = 0

x=7.72, x=-2.72

500

Multiply:

2x3 (3x2 + 4x - 5)

6x5 + 8x4 - 10x3

500

Express in simplest radical form:

√-175

5i√7

500

Solve by factoring:

x2 - 12x + 35 = 0

x=5, x=7

500

5(x - 1)2 - 75 = 50

x=6, x=-4

500

Solve using the quadratic formula:

-3x2 - 4x + 2 = 0

-2+-√10/3