Dividing Polynomials

Factoring Polynomials

100

Factor the polynomial:

x³+7x²+10x 

x(x+5)(x+2)

200

Factor the polynomial:

9x³+6x²-3x

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

300

Factor the polynomial:

3x³+12x²-3x-12

(3x²-3)(x+4)

400

Factor the polynomial.

12x³⁺60x²+75x

3x(2x+5)(2x+5)

500

Factor the polynomial.

6x³+3x²+8x+4

(3x²+4)(2x+1)

Synthetic Division

100

Use Synthetic Division to divide the following equation:

(x²-3x-40)/ (x+5)

x-8

200

Use Synthetic Division to solve the following equation:

(x³+3x²-x+2)/(x-1)

x²+4x+3, R:5

300

Use Synthetic Division to solve the following equation:

(x³+27) / (x+3)

x²-3x+9

400

Use Synthetic Division to solve the following equation:

(x⁴+3x³+x+4) / (x+3)

x³-3x²+12x-35, R:109

500

Use Synthetic Division to solve the following equation:

(x⁵+1) / (x+1)

x⁴-x³+x²-x+1

Long Division

100

Divide the polynomial by long division.

(3x²+7x-20) / (x+4)

3x-5

200

Use Long Division to solve the following equation:

2x³-3x²-18x-8) / (x-4)

2x²+5x+2

300

Use Long Division to solve the following equation:

(x²-7x+10)/ (x+3)

x-10, R:40

400

Use Long Division to solve the following equation:

(x³+5x²-3x-1) / (x-1)

x²+6x+3, R:2

500

Use Long Division to solve the following equation:

(2x²+x-7) / (x-5)

2x+11, R:48

Box Method

100

Use the Box Method to solve the following equation:

(18x²+30x-72)/(6x+18)

3x-4

200

Use the Box Method to solve the following equation:

(5x⁴-15x³+39x²-12x+28)/(5x²+4)

x²-3x+7

300

Use the Box Method to solve the following equation:

(3x⁴+27x³-2x²-45x-5)/(x²+9x+1)

3x²-5

400

Use the Box Method to solve the following equation:

(6x³-6x²-8x)/(x-1)

6x²-8,  R:-8

500

Use the Box Method to solve the following equation:

(6x⁴+15x³-28x-6)/(x+2)

6x³+3x²-6x-16,  R:26