Multiplying Polynomials

Binomials

100

(x+1)3x

What is 3x²+3x

200

x²(3x+1)

What is 3x³+x²?

300

(x+1)(x-3)

What is x²-2x-3?

400

(2x+1)(3x²-4)

What is 6x³+3x²-8x-4

500

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

What is 6x²y+3xy²+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?

Other

100

What is the degree of this monomial?

3x⁴y⁵z⁸

What is 17?

200

A polynomial with exactly 3 terms

What is a trinomial?

300

A monomial with a degree of 0

What is a constant?

400

What is the degree of the following polynomial?

3x⁴+2x²+5

What is 4?

500

Simplify 2x(x-y²+5) - 5y²(3x-2)

2x²+10x-17xy²-10y²

Special Cases

100

(x+1)²

What is x²+2x+1

200

(x+1)(x-1)

What is x² - 1

300

(2x-3)²

What is 4x² - 12x + 9?

400

(2x² + 3x)(2x² - 3x)

What is 4x⁴ - 9x²

500

(3xy+3y)²

What is 9x²y² + 18xy² + 9y²

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

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) = -16t^2 + 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?