Polynomials Jeopardy!!

Adding Polynomials

100

(x+5)+(3x+9)

4x + 14

200

(3x²+4x)+(2x²-3x)

5x²+x

300

(-4x²+2x-3)+(5x²-4x+8)

x²-2x+5

400

(8x²-4x+3)+(7x²+2x-11)

15x²-2x-8

500

(5x³+4x²-2x+2)+2(2x³-2x²+x+5)

9x³+12

Subtracting Polynomials

100

(7x+4)-(5x+8)

2x-4

200

(6x²+4)-(3x²+5)

3x²-1

300

(2x-4)-2(4x-2)

-6x

400

(6x²-5x+8)-(4x²-7x+9)

2x²+2x-1

500

(6x³+4x²-4x+5)-2(2x³-3x²+5x-5)

2x³+10x²-14x+15

Multiplying Polynomials

100

(3x+1)(2x+3)

6x²+12x+3

200

(2x-5)(3x+2)

6x²-4x-10

300

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

400

(2x²-4x+6)(x²+5x-2)

2x⁴+6x³-18x²+38x-12

Remainder Theorem

100

Find the remainder when  x  - 2x - x - 2 is divided by x + 1

-4

200

If f(x) = x + 3x - 4. Find the remainder when f(x) is divided by x - 4

0

300

Find the remainder when 6x + 27x - 14x + 15 is divided by x + 5

10

400

Find the remainder when x + 3x - 5x - 6 is divided by x + 2.

8

500

f (x) = −x 3 + 6x − 7 at x = 2

−3