Polynomials

Adding and Subtracting Polynomials

100

(x²-3)+(2x²+1)

3x²-2

200

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

2

300

(-x²+3x-6)+

(3x²-8)

2x²+3x-14

400

(7x²-4x+2)-(4x²+6x-1)

3x²-10x+3

500

(x³+4x-2)+(x³-5x²+4)

2x³-5x²+4x+2

Distributive Property

100

-3(10x-1)

-30x+3

200

2x(x-9)

2x²-18x

300

4x²(3x²-6x+7)

12x⁴-24x³+28x²

400

(x-6)(2x+9)

2x²-3x-54

500

(8x-1)(7x+1)

56x²+x-1

Difference of Squares

100

9x²-36

(3x+6)(3x-6)

200

64x²-1

(8x+1)(8x-1)

300

100x²-81

(10x+9)(10x-9)

400

x²-121

(x+11)(x-11)

500

144x²-49

(12x+7)(12x-7)

'ac' Method When a = 1

100

b²+8b+7

(b+1)(b+7)

200

m²+m-90

(m+10)(m-9)

300

x²-4x+4

(x-2)(x-2)

400

n²-n-56

(n+7)(n-8)

500

p²+3p-18

(p+6)(p-3)

Factoring by Grouping

100

8r³-64r²+r-8

(8r²+1)(r-8)

200

25v³+5v²+30v+6

(5v²+6)(5v+1)

300

12x²+2x-30x-5

(2x-5)(6x+1) 

400

49x³-35x²+56x-40

(7x²+8)(7x-5)

500

24r²-64r-21r+56

(8r-7)(3r-8)