Jeopardy

Vietas

100

Let x,y be the roots of x^2-18x+9, what is x+y?

18

200

Let x,y be the roots of x^2-18x+9, what is xy?

9

300

Let x, y be the roots of x^2 − 12x + 25. Find the value (x + 1)(y + 1).

38

400

Let a, b, c be the roots of x^3 − 2x^2 + 4x − 7. Find the value a^2bc + b^2ac + c^2ab.

14

Factoring/Solving Polynomials

100

Factor x^2-2x+1

(x-1)^2

200

What are the solutions of x^3+2x^2-x-2

x = -2,1,-1

300

Factor x^3+27

(x+3)(x^2-3x+9)

400

Solve 3(x+1)^2-3(x+1)-36

x=3,-4

Polynomial Division

100

Divide x^2+2x by x

x+2

200

What is the remainder when you divide x^2+7x+13 by x?

13

300

Divide x^3+3x^2+3x+1 by x^2+2x+1

x+1

400

Find the remainder when x^10 − 2x^9 + 2x + 1434 is divided by x − 2.

1438

Complex Numbers

100

what is i^6

-1

200

2+3i + 7i-4

-2+10i

300

(1-3i)(2+5i)

17-i

400

Solve for x:2x^2-6x+5

x = (3+i)/2, (3-i)/2