Mathematical Jeopardy

Complex Numbers

100

i+19i=

20i

200

-7i-3i

-10i

300

What do you do to everything after a negative sign in an eqation

Change all the signs of everything that comes after it.

400

(8+3i)-(5i+3)

5-2i

500

(-3+4i)-(-7-3i)-(-3+3i)=

-13+4i

Quadratics

100

x²-5=20

x=5,-5

200

(t-8)²=49

t=15,1

300

What is the quadratic formula

x=-b⁺_-√b²-4(a)(C)/ 2(a)

400

x²-5x+12=0

x=5⁺_-i√23/2

500

x²+13x+30=0

x=-3 x=-10

Operations of polynomials

100

2x(2x-3)

4x²-6x

200

What do you use to multiply polynomials

Area model

300

(5x+3)²

25x²+30x+9

400

(x²-3x-18)/(x-6)

x+3

500

(2x⁴-7x²+5)/(x-3)

2x³+6x²+11x+33+101/x-3

Binomial expansion

100

what can you always find on both the left and right side of pascal's triangle

 The number 1

200

what is (a+b)¹

a+b

300

what is the expansion of (a+b)²

1a²+2ab+1b²

400

(a-2)³

1a³-6a²+12a+8

500

(x+2y)⁴

1x⁴+8x³y+24x²y²+32xy³+16y⁴

Rational root theorem

100

what is the first step when doing the rational root theorem

Find the factors of the Constant and leading coefficient.

200

True or false

Your roots have to give yo a remainder of 0 in order to prove that it is a root. 

True

300

Give all possible roots for this equation

f(x)=x³-6x²+3x-6

1,-1,2,-2,3,-3,6,-6

400

Give all roots for 

2x³-3x²-11x+6

1/2,-2,3

500

Find all of the roots

5x³-11x²+7x-1

1,1/5