Understanding Polynomials

Greatest Common Factors

100

The greatest common factor of 12 and 10.

What is 2? 

200

The Greatest Common Factor of 12x and 4x. 

What is 4x

300

The Greatest Common Factor of 16x³-12x+32

4x

400

What is the greatest common factor of 144, 12, and 9. 

3

500

What is the greatest common factor of 100 and 10,000

100

Adding and Subtracting Polynomials

100

(2x²+7) + (9)

2x²+16

200

(7x²+4y) + (72+5y-2x²)

5x²+9y+72

300

(144x²+12) - (-200x²+10)

344x²-2

400

(3x+4xy+7y+144) + (-100+6x-9y+5xy)

(9xy+9x-2y+44)

500

(54x⁴+7x³+4y-12) - (-9+8x³+7-51x⁴)

105x⁴-x³+4y-10

Multiplying Polynomials

100

x (x + y)

(x²+xy)

200

4x(2x+4)

(8x²+16x)

300

2n (3n²+10)

(6n³+20n)

400

(4n-5)(4n+5)

(16n²-25)

500

(x+4)²

x²+8x+16

Reverse Box Method

100

Factor k²+15k+56

(k+7)(k+8)

200

Factor 6x²-7x-3

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

300

Factor 2x²+11x+12

(2x+3)(x+4)

400

Factor (9x²-144y²)

9(x+4y)(x-4y)

500

Factor (5r²-80)

5(r+4)(r-4)

Vocabulary

100

GCF stands for . . . 

What is the greatest common factor

200

The method used to multiply polynomials.

What is the box method? 

300

The method that we use to factor polynomials. 

What is the reverse box method?

400

The box method is used to __________ __________. 

What is multiplying polynomials? 

500

A polynomial in standard form is written from ________ to _________ _________.

What is highest to lowest exponent.