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(x²+2x-1)

What is 3x³+6x²-3x?

200

(x+1)(3x²-2x+1)

What is 3x³+x²-x+1?

300

(x+3)(3x²-4x-5)

What is 3x³+5x²-17x-15?

400

(x²+3x+1)(x²-4x+2)

What is x⁴-x³-9x²+2x+2?

500

(2xy + 3x + 1)(2x² + 2x +2)

What is 4x³y + 6x³ + 4x²y + 8x² + 4xy + 8x + 2?

Vocabulary

100

Adding/subtracting items with similar variables and exponents. 

What is combining like terms?

200

A polynomial with exactly 3 terms

What is a trinomial?

300

Pulling out the most common term(s)

What is factoring?

400

An expression with a degree of three

What is cubic

500

An algebraic expression with multiple terms. 

What is a 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: (-7x²y + xy + 3x + 2) - (5x²y - 5xy - 6x - 7)

What is - 12x²y + 6 xy + 9x + 9

300

The height, h(t) in feet of an object thrown into the air with an initial upward velocity of 63 feet per second is given by the formula h(t) = -16t² + 63t, where t is the time in seconds. What is the height of the object after 3 seconds?

What is 45 feet?

400

a+4(6a+2b²)+(a²-6b²)

What is a²+25a+2b²

500

In the formula A = P(1+r)^t, P is the principal, r is the annual rate of interest, and A is the amount after t years. An account earning interest at a rate of 4% has a principal of $2,000. If no more deposits or withdrawals are made, about how much money will be in the account after three years?

What is $2249.73?