What are the x- intercepts of f(x) = x3 - x?
(0,0),(1,0)(-1,0)
Describe the end behavior of the graph of f(x) = x4 - 10x5 + 9x2 - 2x + 8.
The graph rises to the left and falls to the right.
If one of the zeros of a polynomial function is -2 + 5i, what is the other zero?
-2 - 5i
Describe the end behavior of the graph below?
The graphs both falls to the left and to the right.
What is the polynomial function of the given graph?
P(x) = (x + 2)(x+1)2(x - 2)
What are the zeros and y-intercept of p(x) = (-x-2)2 (x2 -9)?
zeros: {-3, -2, -2, 3}
y - intercept: (0, -36)
What is the leading term of f(x)= 5x4 +2x3 -x7 -4?
The leading term is -x7 .
A polynomial has the zeros 2 multiplicity of 3, 0 multiplicity of 2 and -4. How many times does the function cross the x - axis?
The answer is 2 times.
What is the leading term and y-intercepts of f(x)= - x5 + 3x4 -2x6 + x3 ?
The leading term is -2x6 and the y-intercept is (0,0)
Congratulations! You got an easy 200 points! :)
Determine the x and y- intercepts of p(x) = (x-3)(x+2)(x+5).
x- intercepts :(-5,0), (-2,0),(3,0)
y-intercept: (0,-30)
What is the end behavior of the graph as it approaches infinity?
As x -> +∞ , P(x) -> -∞ and as x -> -∞ , P(x) -> +∞ .
What is the polynomial function based on multiplicity of zeros that corresponds the given graph?
P(x) = -(x + 6)2(x - 2)2
Factor completely the polynomial P given by
P (x) = - x3 - x2 + 2x and determine the zeros.
P (x) = - x (x + 2)(x - 1)
The zeros are {-2, 0, 1}.
What are the zeros, degree and at most how many turning points does the polynomial graph has?
The zeros are {-3, -2, -1, 0, 1, 2, 3}
The degree is 6.
The number of turning points is 5.
Determine the possible number of positive and negative real zeros in f(x) = x3 + x2 - 2x + 4.
1 negative real zero
What are the possible combination of numbers of real and imaginary zeros in P(x) = x4 + 5 x3 + 5 x2 - 5 x - 6
2 real zeros and 2 imaginary zeros
What are the multiplicity of zeros if you graph P(x) = x4 - 2x2+ 1?
The graph is tangent at points (-1,0) and (1,0).
Describe the end behavior of the graph below
The graph rises to the right and falls to the left.
Describe the extrema of the given graph below.
The graph has 2 local minima and 2 local maxima.
Determine the zeros, and intercepts of p(x)= x3−2x2−3x.
Zeros: {-1,0,3}
x-intercepts: (-1,0),(0,0),(3,0,)
y-intercept: (0,0)
At most how many number of turning points does the function P(x) = x4−4x9+3x+25 has?
8 turning points
What is the leading coefficient test and end behavior of p(x) = x(2x-3)(x+1)(5-x).
The end behavior is the graph falls both to the left and to right.
In f(x) = x3 - 4x2 , what are the x-intercepts and its multiplicity in the graph?
The x-intercepts are (0,0) and (4,0) and the graph is tangent at (0,0) and crosses at (4,0).
What is the degree and the polynomial function of the given graph?
The degree is 7.
P(x) = -(x +5)2(x+1)(x-4)3(x-7)