Test I
Test II
Test III
Test IIII
Test IIIII
100

What are the x- intercepts of f(x) = x3 - x?

(0,0),(1,0)(-1,0)

100

Describe the end behavior of the graph of  f(x) = x4 - 10x5 + 9x- 2x + 8.

The graph rises to the left  and falls to the right. 

100

If one of the zeros of a polynomial function is -2 + 5i, what is the other zero? 

-2 - 5i

100

Describe the end behavior of the graph below?

The graphs both falls to the left and to the right.

100

What is the polynomial function of the given graph? 

P(x) = (x + 2)(x+1)2(x - 2) 

200

What are the zeros and y-intercept of                       p(x) = (-x-2)2  (x2 -9)?

zeros: {-3, -2, -2, 3}

y - intercept: (0, -36)


200

What is the leading term of f(x)= 5x+2x3 -x7 -4?

The leading term is -x.

200

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. 

200

What is the leading term and y-intercepts of f(x)= - x+ 3x4 -2x+ x?

The leading term is -2x6 and the y-intercept is (0,0)

200

Congratulations! You got an easy 200 points! :)

300

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)

300

What is the end behavior of the graph as it approaches infinity? 

As x -> +∞ , P(x) -> -∞  and as x -> -∞ , P(x) -> +∞ .  

300

What is the polynomial function based on multiplicity of zeros that corresponds the given graph? 

P(x) = -(x + 6)2(x - 2)2

300

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}. 

300

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. 


400

Determine the possible number of positive and negative real zeros in f(x) = x3 + x2 - 2x + 4.

2 or 0 positive real zeros

1 negative real zero


400

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

400

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). 

400

Describe the end behavior of the graph below

The graph rises to the right and falls to the left.

400

Describe the extrema of the given graph below. 

The graph has 2 local minima and 2 local maxima. 

500

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)

500

At most how many number of turning points does the function P(x) = x4−4x9+3x+25 has?

8 turning points

500

What is the leading coefficient test and end behavior of p(x) = x(2x-3)(x+1)(5-x).

The leading coefficient test is negative, even. 

The end behavior is the graph falls both to the left and to right. 

500

In f(x) = x- 4x, 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).

500

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)

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