Polynomials

Adding/Subtracting

100

5x +9x

14x

200

(2x^2 -1)+(x-5)

2x^2+x-6

300

(3x^2 +5x-4)+(2x^2 -3x+7)

5x^2 +2x +3

400

(6x^2 -2x+1)-(3x^2 +4x-5)

3x^2 -6x+6

500

(6x^3 +3x^2 -4)-(2x^4+7x^2+8x-4)

-2x^4+6x^3-4x^2-8x

Multiplying/Dividing

100

2x^3*4

8x^3

200

(5x^5)/(15x^2)

(x^3)/3

300

(2x-3)(x+4)

2x^3+5x-12

400

(12x^3+8x^2-4x)/(4x)

3x^2+2x-1

500

(2x+3)(x^2-x+4)

2x^3+x^2+5x+12

Synthetic Division

100

(x^2+5x+6)/(x+2)

x+3

200

(x^3-4x^2+x+6)/(x-2)

x^2-2x-3

300

(2m^3+m^2-7m+17)/(m+3)

2m^2-5m+8-7/(m+3)

400

(x^3+3x^2-15x+18)/(x+6)

x^2-3x+3

500

(y^4-64y^2+2y-9)/(y-8)

y^3+8y^2+2+7/(y-8)

Random

100

What is the degree of the polynomial?

3x^2+5x-4

2

200

What type of polynomial has a degree of 2?

Quadratic

300

Write the following polynomial in standard form:

-7m+m^2+17+2m^3

2m^3+m^2-7m+17

400

A student tries to divide the following polynomial. Based on their work are they correct? If not, where did they go wrong and what is the correct answer?

(2x^3+5x-3)/(x-2)

Wrong, divisor should be 2 and they did not add a 0 for the missing exponent. The correct answer is

2x^2+4x+13+23/(x-2)

500

(4x^3-8x+20)-(x^2-3x+14)+6(2x^3-x^2+5x)

16x^3-7x^2+25x+6