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Polynomial Operations
Roots of a Polynomial
Graphing Polynomials
Rational Operations
Solving Rational Equations
100
Multiply: (x-3)(x+9)
x^2+6x-27
100
What are the roots for : x^3 + 6 x^2 - 25 x + 18
x= -9, 1, 2
100
What is the end behavior of an equation with a leading term of 2x^4?
up up
100
Simplify: (x^2 + 15x + 56) / (x^2 - 64) Any excluded values?
(x + 7) / (x - 8) x cannot be +/- 8
100
Solve for x: 14/(x+1) = (x+8)/(x+1)
x=6
200
Multiply: (x^2-2x+5) (x+3)
x^3+x^2-x+15
200
What are the roots for: x^4 - 9 x^3 - 18 x^2 + 68 x + 120
x = -2 m.2, 10, 3
200
How many roots does x^4 - 13x^3 + 56x^2 - 208x + 640 have?
4 roots
200
Multiply: (2x^2+5x-12)/ (x^2+3x-10) * (3x^2+17x+10)/(3x+12)
(2x-3)(3x+2) / 3(x-2)
200
Solve for x: x + 2/x = -3
x= -2, -1
300
Divide (x^4 - 4x^3 - 19x^2 + 46x - 24) by (x - 6)
x^3 + 2x^2 - 7x + 4 R 0
300
What are the roots for: 4x^4 - 5x^3 - 9x^2 + 17x - 7
x = -1.75 or -7/4 and 1 m.3
300
f(x) = x^3 - 7 Vertical stretch 5, Shift left 12
g(x) = 5(x+12)^3 - 7
300
(x+3)/(x^2+x-42) divided by (2x+6)/(2x^2-11x-6)
(2x+1) / 2(x+7)
300
2/(x-2) - 1/(x+1) = 2/(x^2 - x - 2)
x = -2
400
Add: (3x^3 + 4x^2 - 7x + 13) + (-5x^2 + 9x - 20)
3x^3 - x^2 + 2x - 7
400
Find the roots for: x^3 + 4x^2 + 7x + 28
x = +/- i sqrt(7), -4
400
What are the solutions (and multiplicities) and end behavior for: x^4 - 15x^3 + 43x^2 + 231x - 980
x= -4, 5, 7 m.2
400
Subtract: 9/(x+4) - 6/(x-7)
(3x-87) / (x+4)(x-7)
400
Solve for x: (2x - 2)/(x^2+4x-21) + 4/(x+7) = 2/(x-3)
x=7
500
Subtract: (-7x^3 + 6x -18) - (8x^3 + 4x^2 - 4x - 12)
-15x^3 - 4x^2 + 10x - 6
500
What are the roots for: x^3 - 8x^2 + 16x - 128
x = 8, +/- 4i
500
What graph transformations happened? f(x)=x^2 g(x)= -(2x - 5)^2+14
horizontal reflection, horizontal shrink of 2, right 5, up 14
500
Add: (x^2-4)/(x-3)(x+1) + (x+8)/(x-3)
(2x^2+9x+4)/(x+1)(x-3)
500
Solve for x: 1/(x-5) + 1/(x+5) = 10/(x^2 - 25)
No solution