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

(3x)(x²-4x+2)

What is 3x³ - 12x²+ 6x?

500

(2x + 1)(2x² + 2x +2)

What is 4x³ + 6x² + 6x + 2?

Factor

100

4x² - 24x +36 

What (2x - 6)² ?

200

9x² - 4

What is (3x +2) (3x - 2)?

300

Factor using GCF:  -25x³ + 15x² - 5x

What is -5x(5x² - 3x + 1)?

400

8x² + 26x +15

What is (4x + 3)(2x + 5)?

500

x² - 2xy - 24y²

What is (x - 6y)(x + 4y)?

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

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

Name the polynomial:  x³ + 3x² - 4x +2

What is a cubic polynomial?

400

Write in standard form:  -x² - 9 + 7x⁴ - 5x + 3x³

What is 7x⁴ + 3x³ - x² - 5x - 9

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?