Quadratics and Factoring

Classifying

100

Classify the polynomial by number of terms:

3x²+2

Binomial

200

Classify the polynomial by number of terms:

4

monomial

300

Classify the polynomial by degree:

3x⁵-4x²+2x-1

5th degree

400

Classify the polynomial by degree:

x²+1x+8

Quadratic

500

Classify the polynomial by degree and number of terms:

7x³+5x-4

Cubic trinomial

the GCF

100

Find the GCF of the numbers:

16, 12, 28

4

200

Find the GCF:

3x²,  2x

x

300

Find the GCF:

6x³,  3x²

3x²

400

Find the GCF:

12x²y,   18xy,   3xy²

3xy

500

Find the GCF:

33x⁷,  55x⁵,  -22x³

11x²

Multiplying

100

Multiply 

3(3x-1)

9x-3

200

Multiply

2(3x²-5x+2)

4x²-10x+4

300

Multiply

(x-1)(x+4)

x²+3x-4

400

(2x-4)(x-10)

2x²-24x+40

500

(6x+3)(4x-5)

24x²-18x-15

Factoring

100

Factor out the GCF

3x+6

3(x+2)

200

Factor out the GCF

6x²+8x

2x(3x+4)

300

Factor the quadratic

x²+2x-24

(x+6)(x-4)

400

Factor the quadratic

x²+11x+18

(x+9)(x+2)

500

Factor the quadratic

5x²-22x+8

(5x-2)(x-4)

Special Cases

100

Multiply the difference of two squares

(x-3)(x+3)

x²-9

200

Multiply the difference of two squares

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

(4x²-9)

300

Factor the difference of two squares

x²-25

(x+5)(x-5)

400

Multiply

(x+6)²

x²+12x+36

500

Factor the perfect square

x²+10x+25

(x+5)²