Jeopardy Project: Quadratics

Multiplying a polynomial by a monomial

100

5w(-3w²+2w-4) 

−15w³+10w²−20w

200

t(4t²+15t+4)-4(3t-1)

4t³+15t²−8t+4

300

4n(2n³-3np²-3np²+5n)+4p(6n²p-2np²+3p)

8n⁴p²−12n²p²+20n²+24n²p²−8np³+12p²

400

-5q²w³(4q+7w) +4qw²(7q²w+2q)-3qw(3q²w²+9)

-q³w³-35q²w⁴+8q²w²-27qw

500

-x²z(2z²+4xz³)+xz²(xz+5x³z)+x²z³(3x²z+4xz)

-2x²z³-4x³z⁴+19q³w³+8q²w²-27qw

Multiplying polynomials

100

-3n(5n-7-3n²)

9n³-15n²+21n

200

(9x+3)(6x-4)

54x²-18x-12

300

(8x-14)(4x-18)

32x²-200x+252

400

(3x²+7x)(4x-5)

12x³+13x²-35x

500

(n²-5k-2)(n²+4)

n⁴+2n²-5kn²-20k-8

Special Products

100

(4+3n)²

16+24n+9n²

200

(3x²+7)(3x²-7)

9x⁴-49

300

(9x²+2)(9x²-2)

81x⁴-4

400

(x+7d)³

343d³+147d²x +21dx²+x³

500

(2/5y+4)(2/5y-4)

4/25y²-16

Factoring

100

20w-4y

4(5w-y)

200

x²+4x-32

(x-4)(x+8)

300

12x²+5x-2

(3x+2)(4x-1)

400

3x²-3x-90

3(x+5)(x-6)

500

16x²-80v

16(x²-5v)

Solving Quadratic Equations

100

(x+2)(x+7)=0

x=-2,-7

200

x²-11x+18=0

x=9,2

300

6-12x-x²=0

x=−6±√(42)

400

x²+11x+3=0

x=−11±√(109)/2

500

x²-36x-14=0

18±13√(2)