Polynomial Review

Degree of Polynomials

100

4y + 7

1

200

3x²

2

300

4x² + 5x + 6

2

400

7

1

500

3x⁵+12x⁴-x

5

Adding or Subtracting Polynomials

100

(3x+5) + (4x+1)

7x + 6

200

DAILY DOUBLE!!

(6x-7) + (4x+5)

10x-2

300

(5x-7) - (8x-2)

-3x - 5

400

(5x-3) + (4x+7) + (2x-6)

11x-2

500

(6x-8) - (6x+8)

-16

GCF

100

15x³+5x²

5x²

200

7x - 7

7

300

12a - 4b

4

400

3xy²+6x³y

3xy

500

12x² + 3x + 6

3

Multiplying Binomials

100

(x+2)(x+3)

x²+5x+6

200

(x-7)(x+2)

x²-5x-14

300

(2x+4)(x-8)

2x²-12x-32

400

(x-4)(x-4)

x²-8x+16

500

DAILY DOUBLE!!

(x⁴-3x)(x³+x)

x⁷+x⁵-3x⁴-3x²

Distributive Property

100

4(3x + 4)

12x + 16

200

2(5x + 6)

10x + 12

300

6(x+12)

6x+72

400

-5(3x-4)

-15x+20

500

4(3x-y+5)

12x-4y+20

Polynomial Standard Form

100

5x²+3x⁶+x

3x⁶+5x²+x

200

4c+3a-5d-2b

3a-2b+4c-5d

300

6-2x

-2x+6

400

6y³+2y-5y⁷-3+2y²

-5y⁷+6y³+2y²+2y-3

500

6x²+3y²-12x⁶+z+3z³-5+5y⁵

-12x⁶+6x²+5y⁵+3y²+3z³+z-5

Square of Binomials

100

(x+2)²

x²+4x+4

200

(x-5)²

x²-10x+25

300

(2x+3)²

4x²+12x+9

400

(4x-1)²

16x²-8x+1

500

(3x³-2y)²

9x⁶-12x³y+4y²

Product of a Sum and Difference

100

(x+4)(x-4)

x²-16

200

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

4x²-9

300

(2x⁴+3)(2x⁴-3)

4x⁸-9

400

(5x³-5)(5x³+5)

25x⁶-25

500

(2x²y²+3z)(2x²y²-3z)

4x⁴y⁴-9z²