Polynomial Functions

Add., Subt., Mult., Div.

100

(8x³-6x⁴+3) - (3x³-3+8x⁴)

-14x⁴+5x³+6

200

-3x(5x+1)(8-2x)

30x³-114x²-24x

300

(1-2n)²-7n(n²-2)

-7n³+4n²+10n+1

400

(-42x¹⁰y⁵ + 12x⁸y³ - 6x²y) / (6x²y)

-7x⁸y⁴+2x⁶y²-1

500

(16a³ - 40a² + 24a) / (8a)

(2a - 3)(a - 1)

Factoring Polynomials

100

k³ - 27

(k - 3)(k² + 3k + 9)

200

3m⁴ - 48n²

3(m² + 4n)(m² - 4n)

300

m⁶ - 7m⁴ - 18m²

m²(m +3)(m - 3)(m² +2)

400

9y⁶ + 6y⁴ +y²

y²(3y² + 1)²

500

3p³ + 5p² - 12p - 20

(p+2)(p-2)(3p+5)

Solving Polynomials real answers only

100

x⁴ - 16 = 0

Hint: factors Difference of 2 squares

x = 2, -2

200

x³ + 512 = 0

x = -8

300

2x³ - 16x² - 40x = 0

x = -2

x = 0

x = 10

400

x³ + 3x² = 24x + 72

x = -3

x = +/- 2sqrt(6)

500

4x⁴ + 35x² - 9 = 0

Hint: factors like a quadratic

x = +/- 1/2

Synthetic Division (Put Answer in form (x-a)(quotient) + remainder)

100

(3k² - k - 20) / (k + 2)

(k + 2)(3k - 7) - 6

200

(x³ + 2x² - 22x - 45) / (x+5)

(x + 5)(x² - 3x - 7) - 10

300

(2c³ + 13c² + 24c + 8) / (c+3)

(c+3))(2c² + 7c + 3) - 1

400

(2x³ - 14x + 10) / (x + 3)

(x+3)(2x² - 6x + 4) - 2

500

(p⁴ - 7p² - 32p - 15) / (p - 4)

(p-4)(p³ + 4p² + 9p + 4) + 1