Polynomials Jeopardy!!

Polynomial Addition and Subtraction

100

(2y²-5y+1) + (y²-y-4)

3y²-6y-3

200

(6m³-5)+(m³+4m²-9m-2)

7m³+4m²-9m-7

300

(3x³-5x²+3x-9) - (x³+6x²+11)

2x³-11x²+3x-20

400

(8x³-x²-5x+1) - (3x³+2x²-x+7)

5x³-3x²-4x-6

500

(4z²+9z-12) - (5z²-z+3)

-z²+10z-15

Polynomial Multiplication

100

(-2y²+3y-6)(y-2)

-2y³+7y²-12y+12

200

(x+3)(3x²-2x+4)

3x³+7x²-2x+12

300

(x+2)(3x²-x-5)

3x³+5x²-7x-10

400

(3t+4)(3t-4)

9t²-16

500

(x-5)(x+1)(x+3)

x³-x²-17x-15

Composition Functions

100

Let f(x)=2x-7 and g(x)=x²+4. Find g(f(3)).

5

200

Let f(x)=2x²+9 and g(x) = x-2. Find g(f(3)).

7

300

Let f(x)=2x+5 and g(x) = 3x-6. Find f(g(x)).

6x-7

400

Let f(x)=3x-8 and g(x)=2x^2. Find g(f(x)).

18x²-96x+128

500

Let f(x) = 2x²+4x-2 and g(x) = x+2. Find f(g(x)).

2x²+12x+14

Factoring

100

x³+2x²-15x

x(x+5)(x-3)

200

x³+64

(x+4)(x²-4x+16)

300

x³-3x²-16x+48

(x-4)(x+4)(x-3)

400

x³+7x²-9x-63

(x-3)(x+3)(x+7)

500

4t⁶-20t⁴+24t²

4t²(t²-2)(t²-3)

Solve for x

100

x²-2x+3=0

x=3, x=-1

200

x³-5x²-16x+80=0

x=4, x=-4, x=5

300

x³+3x²-x-3=0

x=1, x=-1, x=-3

400

x²+16=0

x=4i, x=-4i

500

2x⁴-12x²+10=0

x=1, x=-1, x=+/- sqrt(5)