Polynomials

Standard Form/ Multiplying Polynomials

100

Put the following expression into standard form.

5a⁴b²-b+9a²b⁶-a³+8b²

-a³+5a⁴b²+9a²b⁶+8b²-b

200

(4c + d)(7c – 2d)    

27c²-cd-2d²

300

(3x + 2)(5x² – 12x – 2)

15x³-26x²-30x-4

400

(2x²+3x + 5)(4x² – 5x – 3)

8x⁴+2x³-x²-34x-15

500

(-4x²+3x+5)(-7x²-4x-10)

28x⁴-5x³-7x²-50x-50

Difference of Squares

100

25x² – 49

                                                       

    

(5x-7)(5x+7)

200

121r⁶ – 1

(11r³-1)(11r³+1)

300

a²-b²

(a+b)(a-b)

400

80n⁴ – 125n²

5(4n²-5n)(4n²+5n)

500

m³n–mn

mn(m-1)(m+1)

Basic Factoring

100

x² –14x–72    

(x+4)(x-18)

200

x² –14x–51    

(x+3)(x-17)

300

3y³ +24y²+48y

3y(y+4)²

400

5m³ + 30m² – 35m

5m(m+7)(m-1)

500

4w² – 52w – 120

4(w+2)(w-15)

Grouping/Slide and Divide

100

8y² –10y+3

(2y-1)(4y-3)

200

3g² – 7g + 2

(3g-1)(g-2)

300

2k² –11k+15

(2k-5)(k-3)

400

32w² –16w+2    

2(4x-1)²

500

10x³ – 32x² + 24x

2x(5x-6)(x-2)

Dividing Polynomials

100

(12c⁵d⁴ +18c⁴d³) ÷ (3c²d³)

4c³d+6c²

200

(15x⁵ −25x³ +5x²) ÷ 5x⁴

(3x³-5x+1) ÷ x²

300

(5y² −9y−2)÷(y−2)

(5y+1)

400

(4x² −81)÷(2x+9)

(2x-9)

500

(6x² +7x−5) ÷ (3x+5)

(2x-1)