Multiplying Polynomials

Binomials

100

3x(x+1)

3x²+3x

200

x²(3x+1)

3x³+x²

300

(x+1)(x-3)

x²-2x-3

400

(2x+1)(3x²-4)

6x³+3x²-8x-4

500

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

6x²y+3xy²+12x+6y

Trinomials

100

3x(x²+2x-1)

3x³+6x²-3x

200

(x+1)(3x²-2x+1)

3x³+x²-x+1

300

(x+3)(3x²-4x-5)

3x³+5x²-17x-15

400

(x²+3x+1)(x²-4x+2)

 x⁴-x³-9x²+2x+2

500

(2xy + 3x + 1)(2x² + 2x +2)

4x³y + 6x³ + 4x²y + 8x² + 4xy + 8x + 2

Vocabulary

100

Name an expression with a degree of 1 and 2 terms.

linear binomial

200

A polynomial with exactly 3 terms and a degree of 2

quadratic trinomial

300

Name of a monomial with a degree of 0

constant

400

Name a polynomial with a degree of 3 and 1 term

cubic monomial

500

Name by degree and number of terms: x²+9x-14

Quadratic Trinomial

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

WILD CARD

100

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

 4x + 1

200

Subtract the polynomials: (-7x² + xy + 3x + 2) - (5x² - 5xy - 6x - 7)

- 12x² + 6xy + 9x + 9

300

(x³-2x²+3x-18) - (2x⁴+3x-1)

-2x⁴+x³-2x²-17

400

Factor the following expression: 7x⁴ + 21x³ - 14x²

7x²(x² + 3x - 2)

500

Factor the following expression: 

12a²b⁵ - 48a⁴b⁷ + 156a²b³ 

12a²b³(b² - 4a²b⁴ + 13)