Algebra 2 - Quadratics Review

Solving by Roots

Factoring

Completing the Square

Quadratic Formula

The Number System

100

Solve the equation. x² =-100

&plusmn 10i

100

Solve by Factoring: 0=x²+7x+12

(x+3)(x+4) ==> x = -3, -4

100

Solve by completing the square. x²+6x-5=0

x= -3± √ 14

100

Solve by the quadratic formula. x²-5x-1=0

x= (5± √ 33 )/2

100

List the number sets that describe this number: 2

Natural, Whole, Integers, Rational, Real, Complex

200

Solve the equation: x²+ 3x + 2

(x + 1) (x+ 2)

200

Solve by factoring. y=25x² - 36

(5x+6)(5x-6) ==> x=6/5 , -6/5

200

Solve by completing the square. 2x²-16x+1=-1

x = 4± √ 15

200

Solve by the quadratic formula. f(x) = 2x²-6x-3=4

x= (3± √ 23 )/2

200

List the number sets that describe this number: 7/8

Rational, Real, Complex

300

Solve the equation. (x+5)²=25

x=0, -10

300

Solve by factoring: 3x²+10x-5=3

(3x-2)(x+4) ===>2/3, -4

300

Convert to vertex form by completing the square. f(x)=x²-4x+13

f(x)=(x-2)²+9

300

Solve by quadratic formula. 3x² - 2= - 5x

x= -2, 1/3

300

List the number sets that describe this number:

√ 15

Irrational, Real, Complex

400

Solve the equation: x² + 4x + 4

(x + 2)²

400

Factor completely y=12x²-27

3(2x-3)(2x+3)

400

Convert to vertex form by completing the square. f(x)=-3x²-18x-7

f(x)=-3(x-3)²+20

400

Solve by quadratic formula. 5k²+1=6-18k

x= (-9± √ 106 )/5

400

List the numbers sets that describe this number:

Imaginary, Complex

500

Solve the equation. (x+4)²-2=-10

x=-2&plusmn i8

500

Solve by Factoring. 6x²-39x-45=0

3(2x-15)(x+1) ====> (x= 15/2, -1)

500

Convert to vertex form by completing the square: f(x) = 2x²-5x+8

f(x)=2(x-1.25)²+4.88

500

When the discriminant of a quadratic equation is equal to zero, how many roots does it have?

2 unique roots

500

If a number is a complex number, then it is _____________________ a real number.

Sometimes