Polynomials

Binomials

100

Multiply (x+1)3x

3x²+3x

200

Multiply x²(3x+1)

3x³+x²

300

Multiply (x+1)(x-3)

x²-2x-3

400

Multiply (2x+1)(3x²-4) 

6x³+3x²-8x-4

500

Multiply (3xy+6)(2x+y)

6x²y+3xy²+12x+6y

Trinomials

100

Multiply

3x(x²+2x-1)

3x³+6x²-3x

200

Multiply (x+1)(3x²-2x+1)

3x³+x²-x+1

300

Multiply (x+3)(3x²-4x-5)

3x³+5x²-17x-15

400

Multiply (x+3x+1)(x²-4x+2)

x⁴-x³-9x²+2x+2

500

Multiply (2xy+3x+1)(2x²+2x+2)

4x³y+6x³+4x²y+8x²+4xy+8x+2

Vocabulary

100

What is the degree of a linear polynomial?

Degree 1

200

What is a trinomial?

A polynomial with 3 terms.

300

What is the degree of a constant?

Degree 0.

400

What is the degree of a cubic polynomial?

Degree 3.

500

Categorize the following polynomial by terms and degree. x²+4x-2y+2

2nd degree polynomial

Special Cases

100

(x+1)²

x²+2x+1

200

(x-1)(x+1)

x²-1

300

(2x-3)²

4x²-12x+9

400

(2x²+3x)(2x²-3x)

4x⁴-9x²

500

(3xy+3y)²

9x²y²+18xy²+9y²