Multiplying Polynomials

Polynomials

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

3(x²+2x-1)

What is 3x²+6x-3?

200

-5a(2a² + 4a - 7)

What is -10a³ - 20a² + 35a?

300

xy²(2xy - 3x²y² + 4y)

What is 2x²y³ - 3x³y⁴ + 4xy³?

400

(x+1)(3x²-2x+1)

What is 3x³+x²-x+1?

500

(x+3)(3x²-4x-5)

What is 3x³+5x²-17x-15?

Vocabulary

100

Terms with the same variables and same exponents.

What are like terms?

200

A polynomial with exactly 3 terms

What is a trinomial?

300

the number of times a term is multiplied by itself.

What is an exponent?

400

A polynomial with exactly two terms

What is a binomial?

500

A number, variable or a product of numbers and variables.

What is a monomial?

Binomials

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

Random

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

4(6a+2b²)+(a²-6b²)

What is a²+24a+2b²

500

What is the measure of the third side of a triangle where the perimeter, P = 8x + 4y and two of the sides have measures of x + 2y and 3x + y?

What is 4x + y?