Polynomial Jeopardy

Adding Polynomials

100

(2x + 5y) + (3x – 2y)

5x + 3y

200

(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

= 4x³ + x² – 3x + 1

300

(7x² – x – 4) + (x² – 2x – 3) + (–2x² + 3x + 5)

6x² – 2

400

(x³ + 5x² – 2x) + (x³ + 3x – 6) + (–2x² + x – 2)

2x³ + 3x² + 2x – 8

500

(x³ + 3x² + 5x – 4) + (-3x³ – 8x) + (-5x² + 6)

-2x³ - 2x² + -3x + 2

Subtracting Polynomials

100

(x³ + 3x² + 5x – 4) – (3x³ – 8x² – 5x + 6)

–2x³ + 11x² + 10x –10

200

(6x³ – 2x² + 8x) – (4x³ – 11x + 10)

2x³ -2x² + 19x - 10

300

(x³+ 3x² + 5x – 4) – (3x³ – 8x² – 5x + 6)

–2x³ + 11x² + 10x –10

400

(-9x³ – 3x² + 8x - 4) – (4x³ – 11x² + 8x - 7)

-13x³ + 8x² + 3

500

(2x² - 4) - (x² + 3x - 3)

x² - 3x - 1

Multiplying Polynomials

100

–3x(4x^2 – x + 10)

–12x^3 + 3x^2 – 30x

200

x(x² + 2x - 7)

x³ + 2x² - 7x

300

-x³y²(x²y - 3y³ - 6)

-x⁵y³ + 3x³y⁵ + 6x³y²

400

-5x(3x - 9) - 4x(2x² - 8x + 3)

-15x² + 45x - 8x³ + 32x² - 12x

17x² + 33x - 8x³

500

x(x³ + 3x² + 4x – 17)

x⁴ + 5x³ + 10x² – 9x – 34

Solving Equations

100

4x - 9 = 7x + 12

x = -7

200

1/2*(x+5) = x - 4

x = 13

300

(x + 3)/2 = 15

x = 27

400

x - 5(x - 6) = 2(10 - x)

x = 5

500

(3/5)x - 4 = 7x + 12

x = 80/33