POLYNOMIAL REVIEW JEOPARDY

Divide Polynomials

100

5a³+15a / 5a

a²+3

200

24x³-18x²+9x / 3x

8x²-6x+3

300

x²+4x-5 / x-1

x + 5

400

x³+7x²+14x+3 / x + 2

x²+5x+4 - (5/x +2)

500

x³-30x-18-4x² / 3 + x

x²-7x-9 + (9/3+x)

Miscellaneous

100

Name the polynomial -3x⁴+10x²

Quartic Binomial

200

The Fundamental Theorem of Algebra says this polynomial should have how many zeroes?

5x⁴+11x²-3x⁹

9

300

List all possible rational roots of the polynomial

x⁴+6x³-2x²+3x+36

+ or -: 36, 18, 12, 9, 6, 4, 3, 2, 1

400

Simplify x²+6x-10 - (-2x²+5x)

3x²+x-10

500

Simplify -6x + x³ - 2x⁴ +1 - x³ + 8x² - 4x

-2x⁴ + 8x² - 10x +1 

Factor and Solve

100

Factor and Solve: 3x² + 9x = 0

3x(x + 3) = 0; x = {0, -3}

200

Factor and solve: x² + 5x = -6

(x + 2)(x + 3) = 0 ; {-2, -3}

300

Factor and Solve: 4x⁴ -17x² +4 = 0

(2x - 1)(2x +1)(x +2)(x -2)=0; {1/2, -1/2, 2, -2}

400

3x⁴ - 8x² + 4 = 0

(3x² -2)(x² -2)=0 ; {+/- root 2, +/- root(6)/3}

500

64x³ - 27 = 0

(4x -3)(16x² +12x + 9) =0 ; {3/4, (-3 +/- 3i(root3))/8}

Multiplying Polynomials

100

Simplify (x +9)(x - 6)

x² +3x - 54

200

(3x +7)²

9x² +42x +49

300

3(2x +1)(4x +5)

24x² + 42x +15

400

(x² -5)(x² + 2x + 1)

x⁴ +2x³ -4x² -10x - 5

500

(5x -2)³

125x³ -150x² + 60x - 8

Function Operations

100

f(x) = 3x + 10 and g(x) = x² find:

(f +g)(-4)

14

200

f(x) = 3x + 10 and g(x) = x² find:

(f - g)(x)

-x³ +3x +10

300

f(x) = x² + 3 and g(x) = 6x-1 find:

(f x g)(-3)

-228

400

f(x) = x² + 3 and g(x) = 6x - 1 find:

(f x g)(x)

6x³ -x² + 18x - 3

500

f(x) = x² + 3 and g(x) = 6x - 1 find:

f(g(x))

36x² -12x +4