Jeopardy Exam Review

factoring

100

x² - 81

(x - 9) (x + 9)

200

6n³ + 3n² + 8n + 4

(3n² + 4)(2n + 1)

300

x² + 7x + 12

(x + 3) ( X + 4)

400

2x² +11x + 5

(2x + 1)( x + 5) 

500

3x² -27

3(x-3)(x+3)

solving quadratics

100

solve x² - 49 = 0 

{7,-7}

200

x² -5x + 6 = 0

{2,3}

300

2x² -10x = 0 

{0,5}

400

solve by factoring x² -14x = 95

{19,-5}

500

solve by using the quadratic formula

-x² = 8x +26

-4 +/- i sqrt 10

Complex Numbers

100

i³⁵

i³ = -i

200

subtract

(10 + 2i) - (4 - 5i)

6 + 7i

300

(2 + 5i) (-4 - 3i)

7-26i

400

10/2i

-5i

500

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

(-6-13i)/10

long division

100

(3x² - 5x +2)/(x - 1)

(3x -2)

200

(x² + 3x - 43)/(x + 8)

x² - 5x - 3/(x+8)

300

(x⁴ - 7x³ + 14x² - 3x +7)/(x - 7)

x³ +14x + 95 + 672/(x-7)

400

what do you have to watch out for when doing long or synthetic division?

missing power terms

500

(x⁴-2x³+13x²-4)/(x+6)

x³-8x²+61x-366+2192/(x+6)

synthetic division

100

(x³-15x-30)/ (x+3)

x²-3x-6-12/(x+3)

200

(x³ -9x² + 18x -3)/ (x+3)

x² -12+54 - 165/(x+3)

300

(2x² + 5𝑥 − 3) ÷ (𝑥 + 2)

x + 3 - 9/(x + 2)

400

(2𝑥³ + 2) ÷ (𝑥 + 3)

2x² − 6x + 18 − 52/ (x+3)

500

(x⁵ + 4x⁴ + 16x² -24x +40)/ (x - 4)

x³+ 8x² + 48x + 168 + 712/(x - 4)