Subtraction
Addition
Multiplication
Synthetic Division
Long Division
100

(10x4+21x3)-(58x2+29x-4)

10x4+21x3-58x2-29x+4

100

(3x2+2x+5)+(3x+7)

3x2+5x+12

100

Multiply 2x2 - 3x  and x - 2.

2x3-7x2+6x

100

(3X3-4X2+6X+1) / (X-2)

3X2+2X+10+(21/X-2)

100

Divide the polynomial by long division.

(3x2+7x-20) / (x+4)

3x-5

200

(5x3+3x2+6x)-(2x3+7x)

3x3+3x2+13x

200

(4x3 + 4x2 - x - 1) + (10x4 +17x3 - 62x2 + 30x - 3)

10x4+21x3-58x2+29x-4

200

(3x-8)2

9x2-48x+64

200

(x3+5x2-32x-7)/(x-4)

x2+9x+4+(9/x-4)

200

Use Long Division to solve the following equation:

(2x3-3x2-18x-8) / (x-4)

2x2+5x+2

300

Find the difference of the polynomials given below. 


(2x4- 4x2 + 2x + 14) and (3x4 - 5x3 + 8x + 3)



-x4+5x3-4x2-6x+11

300

(5x4+3x3+4x2+6x+7)+(5x4+2x2+5x+2)

10x4+3x3+6x2+11x+9

300

(n2+6n-4)(2n-4)

2n3+8n2-32n+16

300

Use synthetic division to determine if (x + 1) is a factor of 3x3+6x+9


YES, (x + 1) is a factor of 3x3+6x+9. 

(Remainder=0)

300

(50k3+10k2-35k-7) / (5k-4)

10k2+10k+1-(3/5k-4)

400

Find the difference of the polynomials given below. 


(3x4- 2x2 + 2x + 14) and (4x4 +5x3 + 6x + 3)


-x4-5x3-2x2-4x+11

400

(5x7+4x3+2x2+5x+8)+(4x7+6x6+7x2+5)

9x7+6x6+4x3+9x2+5x+13

400

(4x + 4)(3x + 3)(x + 4)

12x3+72x2+108x+48

400

Is (x + 4) a factor of 2x3 + 7x2 − 6x − 8 ?

YES, (x + 4) a factor of 2x3 + 7x2 − 6x − 8 ?

400

If (ax + 2)(bx - 2) = 18x2 + cx - 4 for all values of x, and a + b = 9, what are the two possible values for c?

6 , -6

500

Find the difference of the polynomials given below. 


(2x4- 3x3 + 5x + 1) and (3x4 +2x3 + 5x + 3)

-x4-5x3-2

500

(5x8+4x5+2x2+7x+8)+(3x9+2x6+6x2+5)

3x9+5x8+2x6+4x5+8x2+7x+13

500

Find the area of a square with a side length of 5x2 + 3



25x4+30x2+9

500

Use synthetic division to determine if (x + 3) is a factor of 3x4+3x2+6x+9

3x3-9x2+30x-84+(261/x+3)

500

A gardener is trying to find the width of his rectangular garden.  If the plot has length (n+3) and area (n3 + 3n2 - 14n - 16),  what would be the width in terms of n ? (A = L * W)

n2-14+(26/n+3)