Multiplying Polynomials

Binomials

100

(x+1)3x

What is 3x^2+3x

200

x^2(3x+1)

What is 3x^3+x^2?

300

(x+1)(x-3)

What is x^2-2x-3?

400

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

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

500

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

What is 6x^2y+3xy^2+12x+6y

Trinomials

100

3x(x^2+2x-1)

What is 3x^3+6x^2-3x?

200

(x+1)(3x^2-2x+1)

What is 3x^3+x^2-x+1?

300

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

What is 3x^3+5x^2-17x-15?

400

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

What is 3x^3 - 11x^2 + 2x + 2

500

(2xy + 3x + 1)(2x^2 + 2x +2)

What is 4x^3y + 6x^3 + 4x^2y + 8x^2 + 4xy + 8x + 2?

Vocabulary

100

An expression with a degree of 1

What is linear?

200

A polynomial with exactly 3 terms

What is a trinomial?

300

A monomial with a degree of 0

What is a constant?

400

An expression with a degree of three

What is cubic

500

Categorize by degree and terms: x^3+4x^2 - 2x +2

What is a Quadratic Polynomial?

Special Cases

100

(x+1)^2

What is x^2+2x+1

200

(x+1)(x-1)

What is x^2 - 1

300

(2x-3)^2

What is 4x^2 - 12x + 9?

400

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

What is 4x^4 - 9x^2

500

(3xy+3y)^2

What is 9x^2y^2 + 18xy^2 + 9y^2

Potpourri

100

Add the polynomials: (9x - 6) + (-5x + 7)

What is 4x + 1?

200

Subtract the polynomials: (-7x^2y + xy + 3x + 2) - (5x^2y - 5xy - 6x - 7)

What is - 12x^2y + 6 xy + 9x + 9

300

Our spring break begins on this day.

What March 27?

400

Spring Begins on this day.

What is March 21, 2021?

500

They won the Teachers' Cup.

Who are the sophomores?