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

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

What is x^4-x^3-9x^2+2x+2?

500

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

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

Monomials

100

Express using exponents: 3x * 4x^4

12x^5

200

Express using exponents AND give answer: [(7^2)^2]^2

7^8 5,764,801

300

Express the area of a square that has a side of length: 9c^6d

81c^12d^2

400

Express using exponents: (a^4 c^6) / (a^2 c)

a^2 c^5

500

Express using positive exponents: w^3/w^-1

w^4

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

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

4(6a+2b^2)+(a^2-6b^2)

What is a^2+24a+2b^2

500

(a^4 c^6) / (a^2 c)

a^2 c^5