Calculus Answers

Divide using synthetic division, and write a summary statement in fraction form.

2x^5-x^4+3x^2-x+5/x-1

Find the vertex of the graph of the function.

f(x) = (x + 4)2 - 1

(0, -4)

( -1, 0)

( -4, -1)

( -1, -4)

show work

Find a cubic function with the given zeros.

-2, 5, -6

f(x) = x3 + 3x2 + 28x - 60

f(x) = x3 - 3x2 - 28x - 60

f(x) = x3 + 3x2 - 28x - 60

f(x) = x3 + 3x2 - 28x + 60


help me please

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

4, -8, and 2 + 3i

f(x) = x4 - 6x3 + 12x2 - 90x + 416

f(x) = x4 - 45x2 + 180x - 416

f(x) = x4 - 35x2 + 180x - 416

f(x) = x4 - 6x3 - 12x2 + 90x - 416


help me please and show work

State the vertical asymptote of the rational function.

f(x)=(x-8)(x+4)/x^2-9

help me please and show work

Write the quadratic function in vertex form.

y = x2 + 16x + 74

y = (x + 8)2 + 10

y = (x + 8)2 - 10

y = (x - 8)2 + 10

y = (x - 8)2 - 10


Help me please

Find the zeros of the polynomial function and state the multiplicity of each.

f(x) = 3(x + 9)2(x - 9)3

4, multiplicity 1; -9, multiplicity 3; 9, multiplicity 3

4, multiplicity 1; 9, multiplicity 1; -9, multiplicity 1

-9, multiplicity 3; 9, multiplicity 2

-9, multiplicity 2; 9, multiplicity 3


help me please