Multiplying Polynomials

Binomials

100

(x+1)3x

3x² + 3x

200

x²(3x+1)

3x³ + x²

300

(x+1)(x-3)

x² - 2x - 3?

400

(2x+1)(3x²-4)

6x³ + 3x² - 8x - 4

500

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

6x²y + 3xy² + 12x + 6y

D.O.T.S.

100

(x+4)(x-4)

x² - 16

200

(-3y+12)(-3y-12)

9y² - 144

300

(11-b)(11+b)

121 - b²

400

(5x³+2)(5x³-2)

5x⁶ - 4

500

(2xy-7g²)(2xy+7g²)

4x²y² - 49g⁴

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?

Squaring Polynomials

100

(x+1)²

x² + 2x + 1

200

(b-12)²

b² - 24b + 144

300

(2x-3)²

4x² - 12x + 9?

400

(-4x² - 2y²)

16x⁴ - 16x²y² + 4y⁴

500

(3xy-4p)²

9x²y² - 24xyp + 16p²​​​​

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) = -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)

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?