Polynomials Review

Polynomials Divided by Monomials (Split and Reduce)

100

(3x-12)/3

x-4

200

(n²+n)/n

(n+1)

300

(48x²-60x)/12x

(4x-5)

400

(25x²+5x⁶)/-5x⁶

(-5/x⁴)-1

500

(x²y+xy²-xy³)/xy

x+y-y²

Factoring(Product- Sum + Two-Step)

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-4m+18

Not-Factorable

300

Factor into two binomials: x²+14+54

(x+9)(x+5)

400

-2x²-2x+4

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

BUDDY UP

500

-x²-4x-3

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

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 80a³b⁴-6a²b⁶

2a²b⁴(40a³-3b²)

Distribution (FOIL)

100

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

6x²+11x+3

200

(2x-5)(3x+2)

6x²-11x-10

300

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

BUDDY UP

400

(9x⁶+4x)(9x⁶-4x)

a²-b² = 81x¹²-16x²

500

Ms. Waters wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom? Area = lw

x²+x-20 square ft

Adding & Subtracting Polynomials

100

(x+5)+(3x+9)

4x + 14

200

(-4x²+2x-3)+(5x²-4x+8)

x²-2x+5

300

(5x³+4x²-2x+2)+2(2x³-2x²+x+5)

9x³+12

400

(6x²-5x+8)-(4x²-7x+9)

2x²+2x-1

500

(6x³+4x²-4x+5)-2(2x³-3x²+5x-5)

2x³+10x²-14x+15