Polynomials
Polynomial Formulas
Factoring Polynomials
Graphing Polynomial Functions
Solving Polynomial Equations
Polynomial Division
Operations and Compositions of Functions
100
x2+ x + 5 is a ___nomial
What is "tri?"
100
The mnemonic to remember the signs of sum of cubes vs difference of cubes.
What is "SOAP?"
(Same Opposite Always Positive)
100
9x3 + 21x2
What is 3x2(3x+7)?
100
Every polynomial function has a domain of
What is (-infty,infty) ?
100
Three synonyms for "zeroes" of a polynomial function.
What are roots, x-intercepts, and solutions?
100
Can you use synthetic division if you're dividing by 2x+1? Why/why not?
What is "no because you can only use synthetic if your divisor's variable term has a coefficient of 1 and is to the 1st degree?"
100
How would you read f(g(x))?
What is "f of g of x?"
200
(8a2 - 6 - 8a) + (1 - 6a - 7a2)
What is a2 - 14a - 5?
200
Difference of squares is a2 - b2 =
What is (a-b)(a+b)?
200
3n4 - 147?
What is 3(n2+7)(n2-7)?
200
The function is an ____ degree and the sign of the leading coefficient is _____________.
What is "odd," and "negative?"
200
The GCF of 2x4 - 48x2 = 0.
What is 2x2?
200
The coefficients you would write to use synthetic division on (y^4+6y^3-4y-31) div (y+6) .
What are 1, 6, 0, -4, -31?
200
f(x) = x2 + 4x - 12 g(x) = 5x2 - 2
(f - g)(x) =
What is -4x2 + 4x - 10?
300
(6x - 7x2 + 7) - (5x2 + 2x - 2x3 - 1)
What is 2x3 - 12x2 + 4x + 8?
300
Sum of cubes is a3 + b3 =
What is (a+b)(a2-ab+b2)?
300
n3 + 2n2 - 36n - 72
What is (n+6)(n-6)(n+2)?
300
The range of f(x) = -x4 + 3x2 +2x
What is
(-infty,4.85]
?
300
Solve 25x3 = 64x.
What is x = {0, -8/5, 8/5}?
300
Does (x^3+x^2-71x+9) div (x+9) have a remainder?
What is "no?"
300
h(x) = x + 7 g(x) = 5x2 - 2
(h * g)(x) =
What is 5x3 + 35x2 - 2x - 14?
400
(3k - 6)(k2 - k + 7)
What is 3k3 - 9k2 + 27k - 42?
400
216pq - p7q?
What is pq(6-p2)(36+6p2+p4)?
400
The end behavior of f(x) = x3 + 8x2 + 16x + 7
What is
As x -> -infty, f(x) -> -infty
As x -> -infty, f(x) -> infty
400
Solve x4 + 19x2 - 20 = 0.
What is x = {-1, 1, -2i sqrt5 , 2i sqrt5 }?
400
Divide (8n^3-36n^2-15n-16) div (n-5)
What is 8n2 + 4n + 5 + 9/(n-5)
400
f(x) = x2 + 4x - 12 h(x) = x + 7
(h/f)(x) =
Domain restrictions:
What is (x+7)/((x+6)(x-2)); {x|x !=-6, 2} ?
500
(-8c^6d^4+56c^4d^2-24c^2d)/(8c^2d)
What is -c4d3 + 7c2d - 3?
500
9y4 - 7y2 - 16
What is (3y+4)(3y-4)(y2+1)?
500
The zeroes, their multiplicity, and their effect of f(x) = 3x3(x-1)2(x-8).
What is
zeroes: 0, 1, 8
multiplicity: 3, 2, 1
effect: crosses, bounces, crosses
?
500
Solve 9x5 - 72x2 = 0.
What is x = {0, 2, - 1+-isqrt3 }?
500
Divide (12a^3+2a^2-6a-30) div (3a-4) .
What is 4a2 + 6a + 6 - 6/(3a-4) ?
500
f(x) = x2 + 4x - 12 h(x) = x + 7
(h * f)(2) =
What is 7?