Dividing Polynomials

Factoring Polynomials

Synthetic Division

Long Division

Polynomial Identities

Complex Numbers

100

Factor the polynomial:

x³+7x²+10x

x(x+5)(x+2)

100

Use Synthetic Division to divide the following equation:

(x²-3x-40)/ (x+5)

x-8

100

Divide the polynomial by long division.

(3x²+7x-20) / (x+4)

3x-5

100

What is the polynomial identity for a sum of cubes? (you can use any two variables-but recall I used a & b in the equation during the lesson)

a³+b³=(a²-ab+b²)

100

Factor the polynomial: (you will get a complex number solution)

8x³=1

1/2, (-1 +/- i sqrt3)/4

200

Factor the polynomial:

9x³+6x²-3x

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

200

Use Synthetic Division to solve the following equation:

(x³+3x²-x+2)/(x-1)

x²+4x+3, R:5

200

Use Long Division to solve the following equation:

2x³-3x²-18x-8) / (x-4)

2x²+5x+2

200

What is the general equation for a difference of squares? (Remember, I used a & b in the equation during the lesson)

a²-b²=(a+b)(a-b)

200

Factor the polynomial: (you will get a complex number solution)

x⁴-12x²=64

x=+/-4,+/-2i

300

Factor the polynomial and find the zeros:

3x³+12x²-3x=12

x=-4,-1,1

300

Use Synthetic Division to solve the following equation:

(x³+27) / (x+3)

x²-3x+9

300

Use Long Division to solve the following equation:

(x²-7x+10)/ (x+3)

x-10, R:40

300

The following is an example of which identity?

8x³-1=(2x-1)(4x²+2x+1)

Difference of cubes

300

Factor the polynomial: (you will get a complex number solution)

x⁴+4x²=12

+/- sqrt2, +/- i sqrt 6

400

Factor the polynomial to find the zeros. You may need to use the quadratic equation.

12x³=60x²+75x

x=0, (5 +/- 5sqrt2) /2

400

Use Synthetic Division to solve the following equation:

(x⁴+3x³+x+4) / (x+3)

x³-3x²+12x-35, R:109

400

Use Long Division to solve the following equation:

(x³+5x²-3x-1) / (x-1)

x²+6x+3, R:2

400

The following is an example of which identity?

x²+10x+25=(x+5)²

Perfect Square Trinomials

400

Factor the polynomial: (you will get a complex number solution)

81x³-192=0

x= 4/3, (-2 +/- 2i sqrt 3)/3

500

Factor the polynomial to find the zeros.

x³+1=x²+x

x=-1,1

500

Use Synthetic Division to solve the following equation:

(x⁵+1) / (x+1)

x⁴-x³+x²-x+1

500

Use Long Division to solve the following equation:

(2x²+x-7) / (x-5)

2x+11, R:48

500

The following is an example of which identity?

x³-125

Difference of cubes

500

Factor the polynomial: (you will get a complex number solution)

x³+x²+x+1=0

x=-1,+/-i