Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Remainder Theorem
100
(x+5)+(3x+9)
4x + 14
100
(7x+4)-(5x+8)
2x-4
100
(3x+1)(2x+3)
6x2+12x+3
100

Find the remainder when  x  - 2x - x - 2 is divided by x + 1

-4

200
(3x2+4x)+(2x2-3x)
5x2+x
200
(6x2+4)-(3x2+5)
3x2-1
200
(2x-5)(3x+2)
6x2-4x-10
200

If f(x) = x + 3x - 4. Find the remainder when f(x) is divided by x - 4

0

300
(-4x2+2x-3)+(5x2-4x+8)
x2-2x+5
300
(2x-4)-2(4x-2)
-6x
300
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
300

Find the remainder when 6x + 27x - 14x + 15 is divided by x + 5

10

400
(8x2-4x+3)+(7x2+2x-11)
15x2-2x-8
400
(6x2-5x+8)-(4x2-7x+9)
2x2+2x-1
400
(2x2-4x+6)(x2+5x-2)
2x4+6x3-18x2+38x-12
400

Find the remainder when x + 3x - 5x - 6 is divided by x + 2.

8

500
(5x3+4x2-2x+2)+2(2x3-2x2+x+5)
9x3+12
500
(6x3+4x2-4x+5)-2(2x3-3x2+5x-5)
2x3+10x2-14x+15
500

f (x) = −x 3 + 6x − 7 at x = 2

−3

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