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?

Vocabulary

100

An expression with a degree of 1

What is linear?

200

A polynomial with exactly 3 terms

What is a trinomial?

300

A monomial with a degree of 0

What is a constant?

400

An expression with a degree of three

What is cubic?

500

Categorize by degree and terms: xy + 4x - 2y + 2

What is a Quadratic Polynomial?

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

Simplify: (9x - 6) + (-5x + 7)

What is 4x + 1?

200

Simplify: (-7x²y + xy + 3x + 2) - (5x²y - 5xy - 6x - 7)

What is -12x²y + 6xy + 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?