Unit 5 - Polynomials

Adding & Subtracting

100

(5x+4)+(2x+9)

7x+13

200

(9x²+7x+2)+(x²-8x+6)

10x²-x+8

300

(10x²+8x+3)-(6x²+3x-8)

4x²+5x+11

400

(3x²-2x+5)-(6x²+4x-9)

-3x²-6x+14

500

Find the perimeter of a rectangle with length: 2x²+3x+4 and width: 6x²-5x-2

16x²-4x+4

Multiplying

100

-y(5y²+6y)

-5y³-6y²

200

3a(5a²+4a-1)

15a³+12a²-3a

300

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

8x²-14x-30

400

(x-6)²

x²-12x-36

500

(x+2)(x²+2x+3)

x³+4x²+7x+12

GCF

100

Find the GCF:
22x²+36x⁴    

2x²

200

Find the GCF:

24x⁶+18x⁵+21x⁴

3x⁴

300

Factor out the GCF:

8x³+12x²+16x

4x(2x²+3x+4)

400

Factor out the GCF:
15x⁴y²-10x²y³+5xy

5xy(3x³y-2xy²+1)

500

Factor out the GCF:
8x³y-16x²-32x

8x(x²y-2x-4)

Factoring

100

Factor: 

x²+15x+56

(x+7)(x+8)

200

x²-4x-60

(x-10)(x+6)

300

x²-49

(x+7)(x-7)

400

3x²+14x-5

(3x-1)(x+5)

500

6x²+9x+3

(6x+3)(x+1)

Misc.

100

x²+13x-30    

(x+15)(x-2)

200

Max attempted to factor the following polynomials but he made an error in his work. Explain the error he made then factor the polynomials correctly. 

Original polynomial: x²-6x+5        

Max’s factors: (x-5)(x+1)

Error: -5 x 1 = -5 and -5 + 1 = -4

Correct Factors: (x-5)(x-1)

300

Factor:
6r²+18r+12

6(r+2)(r+1)

400

Factor: 

12v²-28v+16

4(3v-4)(v-1)

500

The area of a rectangular garden is given by the trinomial 9y²+6y-8. Find the length and width of the garden.

(3y-2)(3y+4)