Polynomials Review

Factoring

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

What is the name of Mrs. Mayer-Hernandez’s dog?

Spell it

Cobi

(bonus for correct spelling...not Kobe!)

400

Factor:

x² - 5x + 6

(x-2)(x-3)

500

Factor:

n³ - 9n - 22

n(n-11)(n+2)

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

SURPRISE!

How many full marathons (26.2 miles) has Mrs. Mayer-Hernandez ran?

5

500

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

SUPRISE!

What is Mrs. Mayer-Hernandez's lucky number?

8

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(n - 1)(n + 4)(n - 7)

n³ -n² -25n +28

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Divide Polynomials

100

Divide the Polynomials:

(4n + 8) / 2

2n + 4

200

Divide the Polynomials:

(x³+8x²+16x+8) / (x+2)

x²+6x+4

300

Divide the Polynomials:

(x³+8x²+25x+30) / (x+3)

x²+5x+10

400

SURPRISE!

What did Mrs. Mayer-Hernandez major in at SLU?

Biomedical Engineering

500

Divide the Polynomials:

(2x³+7x²+19x+8) / (2x+1)

HINT: no synthetic division

x²+3x+8

More Factoring

100

SURPRISE!

What year was Mrs. Mayer-Hernandez graduate from Northwest HS?

2011

200

6b³+8b²+9b+12

(2b²+3)(3b+4)

300

x³+4x²+2x+8

What is (x+4)(x²+2)

400

10x³+15x²+8x+12

What is (2x+3)(5x²+4)

500

20n³ + 12n² - 5n - 3

(2n - 1) (2n + 1) (5n + 3)

Factoring GCF/ Special Cases

100

SUPRISE!

What sport/activity did Mrs. Mayer-Hernandez participate in when she was a student at Northwest HS?

Soccer

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

x² - 4

(x+2)(x-2)

400

Factor:

4p² + 256

4(p+8i)(p-8i)

500

Factor 

8n³+343

(2n+7)(4n²-14n+49)