Looking at the degree and number of terms of a polynomial, you are trying to do what?
What is CLASSIFYING
100
Describe the end behavior
P(x)= 2x^3-4x+1
What is
Falling Left and Rising Right
100
What are the names of the two special cases for factoring that we learned in this chapter on polynomials
What are
The sum and difference of two cubes
100
Solve by factoring:
3y^3 + 36y^2 = 3y^4
What are:
0, 4, -3
100
Find all the rational roots of the polynomial equation.
4x^3 - 13x^2 + 11x - 2 = 0
What are:
1/4, 1, 2
200
A solution to a polynomial function.
What is a ZERO?
200
Determine how many turning points for the function
P(x)= x^4-2x^2+2
What is THREE
200
Multiply
(2x - 4)(x + 1)^2
What is
2x^3-6x-4
200
Use variable substitution and factoring to find all the roots of the equation:
t^4 + 14 = 9t^2
What are:
+ or - root 7
+ or - root 2
200
Find all zeros of each polynomial function.
B(x) = x^3 - 4x^2 - 3x + 12
What are:
4, and + or - root 3
300
A factor that occurs more than once when a function is factored out.
What is MULTIPLICITY?
300
Find the y-intercept for the function
P(x)= -x^4-3x^3+3x+3
What is (0, 3)
300
Use synthetic division to solve:
(x^5+6x^3-5x^4+5x-15) ÷(x-3)
What is
x^4-2x^3+5
300
Use a graph, synthetic division and factoring to find all the roots of the equation:
x^3 + 3x^2 = 27 + 9x
What are:
3 and -3
300
Write a polynomial function, P, in factored form and in standard form by using the given information.
P is of degree 3; P(0) = 24; zeros: -1, 2, 4
What is
P(x) = 3(x + 1)(x - 2)(x - 4)
P(x) = 3x^3 - 15x^2 + 6x + 24
400
When a polynomial graph is falling left and rising right, this is a way of discussing...
What is END BEHAVIOR?
400
Find the x-intercepts of the polynomial function
P(x)= (2x + 1)(x - 3)(4x + 5)^2
What is (1/2, 0), (3, 0), (-5/4, 0)
400
Use long division to solve:
(x^2+1/2 x-3/16)÷(x+ 3/4)
What is
(x - 1/4)
400
Use a graph and the Location Principle to find the real zeros of each function. Approximate to the nearest hundredth.
a(x) = x^2 + 12x^3 - 3x
What are:
0, -0.54, 0.46
400
Find all zeros of the polynomial function.
H(x) = x^4 + 16x - x^2 + 4x^3 - 20
What are:
-5, 1, + or - 2i
500
A polynomial graph of degree "n" has n - 1 ________...
What are TURNING POINTS?
500
Tell where the x-intercepts are and whether the graph crosses or touches at each x-intercept for the polynomial function
P(x)= (2x + 3)(x^2 - 16x + 64)
What is
Crosses at (-3/2, 0)
Touches at (8, 0)
500
Factor:
(24y + 375y^7)
What is
3y(2 + 5y^2)(4 - 10y^2 + 25y^4)
500
Use a graph and the Location Principle to find the real zeros of each function. Approximate to the nearest hundredth.
f(x) = x^2 - 5x^3 + 3x
What are:
0, -0.68, -0.88
500
Write a polynomial function, P, in factored form and in standard form by using the given information.
P is of degree 4; P(0) = 1; zeros: 1 (multiplicity 2), 2 (multiplicity 2)
What is
P(x) = (1/4)(x - 1)^2(x - 2)^2
= (1/4)x^4 - (3/2)x^3 + (13/4)x^2 - 3x + 1