Is It or Isn't It?
The part of f(x) = 2x^3 + x^-3 -2 that makes this NOT a polynomial function.
What is the negative exponent?
The end behavior for the function:
y = -3(3-2x)^2(x+4)
What is as x --> infinity, y --> -infinity
x --> - infinity, y --> infinity
When y = 2x^3 + 3x^2-12x - 12 is divided by (x+4) the result is (x-3)(2x+1).
y = (x-3)(2x+1)(x+4) is written as...
What is a product of linear factors?
As x --> infinity, the right hand end behavior of y = x^6 - 36 is?
What is infinity?
The intersection of the polynomials
f(x) = (2x+1)(x-3)
g(x) = x(x-3)
What is (3,0) and (-1,4)?
The powers on the x-values all need to be this for the function to be a polynomial function.
What is positive integers zero and above? What are whole numbers?
The type of polynomial where the end behavior goes in the same direction?
What is an even degree?
Write y = x^3 + 2x^2 -9x - 18 as a product of linear factors if (x + 2) is a factor.
What is y = (x +2)(x-3)(x + 3)?
The two parts of a polynomial function that you look at in order to determine the end behavior.
What are the degree and leading coefficient?
Write the following polynomial in standard form:
-3(x-2)(3x+1)^2
What is -27x^3+36x^2+33x+6?
The end behavior of this function follows this pattern for the degree and leading coefficient: f(x) = 5 - 6x^4 - 7x^8 + 12x^2 - 3x
What is even negative?
The degree of the polynomial function:
y = 3(x^2 -5)(x +2)(x - 1)^2
What is 5th degree?
What is the other factor of y =x^3 +8x^2 -17x - 15 if (x+3) is a factor?
What is x^2 + 5x -32?
Using the end behavior sketch the graph of
y = x^4(8-x)^3
What is as x --> Infinity, y --> - infinity
x --> - Infinity, y --> infinity
The vertical intercept of y = 8(x-3)(2x-1)(x+3)
What is 72?
The part of polynomial division that tells you whether or not the the divisor is a factor?
What is the remainder?
What term will give you all the information you need for the end behavior ?
What is the leading term?
What is the remainder of f(x) = x^3 - 2x^2 - 3x - 6 if the polynomial is divided by (x + 2)?
What is -16?
If a polynomial function has an even degree and a positive leading coefficient, both the left and right ends of the function approach this.
What is positive infinity?
For the function, f(x) = x^3 + 6x^2 - x + 2 , f(1) = 8. What is the remainder when f(x) is divided by x - 1
What is 8?
How will you decide if (3x - 4) is a factor of 3x^4 + 2x^3 - 20x^2 -8x + 32?
What is f(4/3)? If it's 0 it's a factor!
What is long division? If there is a remainder or not!
The leading coefficient for the function f(x) = 6x - 3x^2 - 12x^3 +18
What is -12?
Given f(-4) = 3, f(0) = 36, f(-2) = 0, and f(9) = 0, write the equation of the polynomial in standard form if as x --> infinity, f(x) --> - infinity, x --> - infinity, f(x) --> - infinity.
What is f(x) = -2x^2+14x +36 ?
The degree and leading coefficient for a polynomial when f(x) -> - infinity as x -> - infinity and f(x) -> + infinity as x -> + infinity
What is odd degree and positive leading coefficient?
A function curves down and touches the x-axis exactly x = 4 then curves back up again. What is a possible factor of the graph?
What is (x - 4)^2? (or to any even degree)