Algebra 2--Quadratics and Complex Numbers

Factoring

100

Factor 

x^2 - 12x - 45

What is (x-15)(x+3)

200

Factor Completely 

27x^3 - 3xy^2

3x(3x + y)(3x - y) 

300

Factor completely 

12x^2 - 21x -6

What is 

3(x-2)(4x+1)

400

Factor Completely 

4x^2 - x - 14

(x-2)(4x+7)

500

Factor Completely 

5-20x^2 

5(1 + 2x)(1 - 2x) 

Solving Quadratics

100

Solve by Factoring. 

x^2 + 11x + 30 = 0 

x = { -5, -6}

200

Solve by Square Roots. 

x^2 - 10 = 159

x = +- 13

300

Solve by Factoring. 

8x^2 + 43x = 7x

x = { -9/2, 0}

400

Solve by Factoring. 

2x^2 +x = 2x + 6

x = {-3/2 , 2}

500

Solve by Square Roots. 

7-3x^2 = 211

x = {+-2isqrt(17)}

Radicals & Complex

100

(2+3i) + (4+7i)

What is 6+10i

200

(2-7i) - (1-4i)

1-3i

300

Simplify 

sqrt(-6)*sqrt(-3

-3sqrt2

400

Simplify 

sqrt(-48

+-4isqrt(3)

500

Reduce: 

i^90

What is -1

Complex Numbers

100

(5+6i) + (4-2i)

What is 9 + 4i

200

(3+2i)(5-i)

What is 17+7i

300

(6+2i)(6-2i)

What is 40

400

1/(2+3i)

(2-3i)/13

500

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

(1+4i)/2

Equation Forms

100

What is the vertex of f(x)=(x -3)² -7

What is (3,-7)

200

Write the vertex form of: f(x) = 4x²+32x+11

What is 

f(x) = 4(x + 4)^2 - 53

300

What are the roots of the quadratic equation... 

f(x) = (3x+2)(x-4)

x = {-2/3, 4}

400

Solve by graphing. 

f(x) = -x^2 +2x+8

x={-2, 4}

500

What are ALL the other names for quadratic roots? 

Roots - Zeros, Solutions, & X-Intercepts