Polynomial Showdown

It's Classified!

100

Classify the following expression by degree and number of terms: 

f(x)=x²

Quadratic, Monomial

200

Classify the following expression by degree and number of terms: 

f(x)=x+1

Linear, Binomial 

300

Classify the following by degree and number of terms: 

f(x)=2x³+3x²+x-2

Cubic, Polynomial

400

Classify the following expression by degree and number of terms: 

f(x)=-4x⁵-3

Quintic (5th degree), Binomial

500

Classify the following expression by degree and number of terms: 

f(x)=4x²-13x⁷+x-x³+3

7th degree, Polynomial 

Adding? Too Easy.

100

Add the following polynomials: 

(x²+2)+(2x+4)

x²+2x+6

200

Add the following polynomials:

(x³+2x²-x+1)+(2x³-x²+1)

3x³+x²-x+2

300

Add the following polynomials:

(-x⁴+2x³-5x²)+(5x⁴-7x³-2x²+x-9)

4x⁴-5x³-7x²+x-9

400

Add the following polynomial expressions; write your answer in standard form: 

(x+2) + (x³+3x⁵-x)

3x⁵+x³+2

500

Add the following polynomial expressions and write your answer in standard form: 

(x-14x⁷-8x²+2)+(x⁶-2x⁵+2x-7)

-14x⁷+x⁶-2x⁵-8x²+3x-5

Subtracting? More like Minus-ing.

100

Subtract the following Polynomials: 

(x-1)-(2x+4)

-x-5

200

Subtract the following Polynomials:

(4x²+2x-5)-(7x²-4x-7)

-3x²+6x+2

300

Subtract the following Polynomials:

(x⁵+3x³-2x+10)-(x⁵+x⁴-x+9)

-x⁴+3x³-x+1

400

Subtract the following Polynomials and write your answer in standard form: 

(-x²+14x⁷-2x+x⁴+2)-(x⁵+2)

14x⁷-x⁵+x⁴-x²-2x

500

Subtract the following Polynomials; write your answer in standard form: 

(5x-x⁴+3x³-2)-(-x³+2x-10x²+9)

-x⁴+4x³+10x²+3x-11

Multiplication Frenzy

100

Multiply the following polynomials: 

(x-1)(x)

x²-x

200

Multiply the following polynomials: 

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

10x²-5x-5

300

Multiply the following polynomials: 

(x+7)(x²+2x-4)

x³+9x²+10x-28

400

Multiply the following polynomials; write your answer in standard form: 

(x²-3x)(-4x²+9x-10)

-4x⁴+21x³-37x²+30x

500

Multiply the following polynomials; write your answer in standard form AND classify the polynomial: 

(-x+3x³-2x²+1)(-2x²-4x)

-6x⁵-8x⁴+10x³+2x²-4x; Quintic (5th degree) Polynomial. 

The Great Division

100

Divide the following polynomials: 

(2x²+4x)/(x)

2x+4

200

Divide the following polynomials:

(4x³-2x²+10x)/(2x) 

2x²-x+5

300

Divide the following polynomials:

(-x⁵+4x²)/(x²)

-x³+4

400

Divide the following polynomials; write your answer in standard form AND classify the resulting polynomial:

(-3x⁷-27x⁵+9x⁴-30x³)/(3x³)

-x⁴-9x²+3x-10; Quartic, Polynomial 

500

Divide the following polynomials; write your answer in standard form AND classify the polynomial: 

(45x⁶+5x⁸+10x⁴-30x³)/(5x²)

x⁶+9x⁴+2x²-6x; 6th degree Polynomial