Polynomials Review

Adding & Subtracting Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(6x-7x+7)-(5x²+2x-2x³-1)

2x³-12x²+4x+8

Multiplying Polynomials

100

Multiply

(x - 4)(x - 6)

x² -10x + 24

200

Multiply

 7x²y³ (2x⁴y⁵+6xy³)

14x⁶y⁸+42x³y⁶

300

Multiply

(3k-6)(k²-k+7)

3k³-9k²+27k-42

400

Multiply

(4x+1)(5x−2)

20x²− 3x − 2

500

SURPRISE

YOU LOSE 500 and the losing team wins 500

Dividing Polynomials

100

Divide 

(-8c⁶d⁴+56c⁴d²-24c²d)/ 8c²d

c⁴d³+7c²d-3

200

Divide the Polynomials

(y⁴-7y³-2y+18)/ (y-7)

y³-2+ 4/y-7

300

Divide the Polynomials:

(12x²-20x+3) / (2x-3)

6x-1

400

SURPRISE 

Name the rule for difference of cube in 30 seconds. 

500

Divide the polynomial

(2x³-14x+10) / (x+3)

2x²-6x+4 - 2/x+3

Factoring GCF/ Special Products

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

2x² - 8x

2x(x+4)

400

Factor:

4p² - 256

4(p²-64)

500

Factor out the GCF

18n²+42n+6n

6n(3n+7m+1)

Factoring Trinomials

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

y² - 2y - 8

(y-4)(y+2)

400

Factor:

3x²+6x-144

3(x+8)(x-6)

500

Factor 

6a²+11a-10

(3a-2) (2a+5)

More Factoring

100

Solve and name which type of special factoring is it? 

3n⁴-147

3(n²+7) (n²-7)

Difference of Squares

200

Solve and name which type of special factoring is it? 

9x³+21x²​​​​

Sum of Cubes

3x²(3x+7)

300

Solve and name which type of special factoring is it? 

64a³-343b³

²Differences of Cubes

(4a-7b)(16a²+28ab+496b²)

400

Solve and name which type of special factoring is it? 

2c⁵-2c³-60c

Trinomials

2c(c²-6)(c²+5)

500

Solve and name which type of special factoring is it? 

n³+2n²-36n-72

Four Terms or Grouping

(n+6) (n-6) (n+2)