Polynomials

Polynomial Function

100

The degree is 0

What is constant?

200

The degree is 1 

What is linear?

300

The degree is 2

What is quadratic?

400

The degree is 3 

What is cubic?

500

The degree is 4

What is quartic? 

Adding

100

Add (x²+4x+1)+(4x²-2)

What is 5x²+4x-1?

200

Add (x²+3x+1)+(4x²+5)

What is 5x²+3x+6?

300

Add (6x²+3x-4)+(x²-7)

What is 7x²+3x-11?

400

Add (6x³+12x²-15a)+(4x²-12x+8)

What is 6x³+16x²-27x+8?

500

Add (3x⁵+x⁴+2³-2y+5)+(2y⁵+3y³+7y+2)

What is 5y⁵+y⁴+5y³+5y+7?

Subtracting

100

Subtract (4x³–5x–8)-(6x²–3x+8)

What is -4x³+6x²+2x+16?

200

Subtract (6x²–7x+4)-(7x²–9x+8)

What is -x²+2x-4?

300

Subtract (9x⁵–6x³+7x²)–(7x³–6x⁵+2x²)

What is 15x⁵-13x³+5x²?

400

Subtract (6x³ – 2x² + 8x) – (4x³ – 11x + 10)

What is 2x³ – 2x² + 19x – 10?

500

Subtract (5x³–7x²+3x–4)-(8x³+2x²+3x–7)

What is -3x³-9x²+3?

Multiplying

100

Multiply (x+2)(x²-2x+1)

What x³-3x+2? 

200

Multiply (x+4)(x²+2x-7)

What is x³+6x²+x-28?

300

Multiply (3x+2)(x²-x-4)

What is 3x³+5x²-10x-8?

400

Multiply (4x+9)(2x²-5x+3)

What is 8x³-2x²-33x+27?

500

Multiply (3x+4)(7x²+2x-9)

What is 21x³+34x²-19x-36?

Vocab

100

A monomial without a variable - its degree always equals zero

What is constant?

200

The sum or difference of many monomials

What is Polynomial?

300

A number, variable or the product of numbers and variables

What is a monomial?

400

Has terms placed in descending order, from largest exponent to smallest exponent

What is the Standard Form of a Polynomial?

500

The highest exponent of any term

What the Degree of a Polynomial?