Polynomials

Adding and Subtracting Polynomials

100

(4y+5)+(-7-1)

-3y+4

200

(-x²+3x)-(5x+2x²)

-3x²-2x

300

(x³-3x+1)-(x³+7-12x)

9x-6

400

(6x²-4w-1)+(-4+2x²+8x)

4x²-9x+5

500

(w²-4w-1)+(-5+5w²-3w)

6w²-7w-6

Multiplying Polynomials

100

6v(2v+3)

12v²+18v

200

7(-5v-8)

-35v-56

300

(2n+2)(6n+1)

12n²+14n+2

400

(6n²-6n-5)(7n²+6n-5)

42n⁴-6n³-101n²+25

500

(m²-7m-6)(7m²-3m-7)

7m⁴-52m³-28m²-67m+42

Binomial Theorem

100

Coefficient of x² in expansion of (2+x)⁵

80

200

Coefficient of x in expansion of (x+3)⁵

405

300

Coefficient of b in expansion of (3+b)⁴

108

400

Coefficient of x³y² in expansion of (x-3y)⁵

90

500

Coefficient of a² in expansion of (2a+1)⁵

40

Factoring Polynomials

100

x²+3x+2

(x+2)(x+1)

200

x²+x-6

(x+3)(x-2)

300

a²+a-12

(a+4)(a-3)

400

b²+8b+16

(b+4)² or (b+4)(b+4)

500

x²+21x+100

prime

Dividing Polynomials

100

(m²-7m-11)÷(m-8)

m+1-3/m-8

200

(n²-n-29)÷(n-6)

n+5+1/n-6

300

(n²+10n+18)÷(n+5)

n+5-7/n+5

400

(2x²-17x-38)÷(2x+3)

x-10-8/2x+3

500

(42x²-33)÷(7x+7)

6x-6+9/7x+7