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Find the values of b such that the function f left parenthesis x right parenthesis equals minus x squared plus b x minus 75 has the given maximum value 94

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.

f left parenthesis x right parenthesis equals 2 minus 5 x plus 3 x squared minus 5 x cubed

Falls to the left, falls to the right

Rises to the left, rises to the right

Rises to the left, falls to the right

Falls to the left, rises to the right

Falls to the left

Give the polynomial function that has the given zeros. Show all work.

5, -7

Select the correct graph of the following function.

f left parenthesis x right parenthesis equals 5 x cubed plus 4 x squared minus 8 x plus 18

graph of function

graph of function

graph of function

graph of function

graph of function

Using the factors (x-4) and (x+2), find the remaining factor(s) of f left parenthesis x right parenthesis equals x cubed plus x squared minus 14 x minus 24 and write the polynomial in fully factored form.

Select the correct graph of the function.

y equals x to the power of 5 minus 5 x cubed plus 3 x

graph of function

graph of function

graph of function

graph of function

graph of function

List the possible rational zeros of f.

f left parenthesis x right parenthesis equals x cubed plus x squared minus 9 x minus 9

Find a mathematical model representing the statement. (Determine the constant of proportionality). Show all work.

P varies directly as x and inversely as the square of y. left parenthesis P equals 3 over 2 space w h e n space x equals 25 space a n d space y equals 10. right parenthesis

Write f left parenthesis x right parenthesis equals x cubed plus 7 x squared plus 13 x plus 22 in the form f left parenthesis x right parenthesis equals left parenthesis x minus k right parenthesis q left parenthesis x right parenthesis plus r when k = -5.

Use Descartes’ rule of signs to find the number of possible positive, negative, and nonreal roots for the following equation. Display your answers in a table.

4 x to the power of 7 plus 9 x squared plus 5 x plus 10 equals 0

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