All Questions ⁺⁰237754 Questions

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Algebra

Let f(x) = x^{10}+5x^9-8x^8+4x^7-x^6-33x^5+4x^4-22x^3+8x^2-3x-5.
Without using long division (which would be horribly nasty!), find the remainder when f(x) is divided by x^2 - 4.

AUnVerifedTaxPayer Feb 20, 2025

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43

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+294

Algebra

Let f(x) be a polynomial such that f(0) = 4, f(1) = 8, and f(2) = -6. Find the remainder when f(x) is divided by x.

AUnVerifedTaxPayer Feb 20, 2025

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43

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+294

Algebra

Let f(x) be a polynomial such that f(0) = 4, f(1) = 6, and f(2) = -2. Find the remainder when f(x) is divided by x.

AUnVerifedTaxPayer Feb 20, 2025

0

11

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+294

Algebra

The polynomial
g(x) = x^3 - x^2 - (m^2 + m + 18) x + 2m^2 - 14m - 6
is divisible by x - 5 and all of its zeroes are integers. Find all possible values of m.

AUnVerifedTaxPayer Feb 20, 2025

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39

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+294

Algebra

Find the remainder when p(x) is divided by q(x), where p(x) = x^5 + 1 and q(x) = x^2 + x + 2.

AUnVerifedTaxPayer Feb 20, 2025

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38

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+294

Algebra

Given that x = 2 is a root of p(x) = x^4 - 3x^3 + 11x^2 - 25x + k for some constant k, find all the roots of p(x) (real and nonreal).
Enter your answer as a list of numbers separated by commas.

AUnVerifedTaxPayer Feb 20, 2025

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38

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+294

Algebra

Find an ordered pair of constants (a,b) such that the polynomial f(x)=x^3+ax^2+(b+2)x+1 is divisible by x^2-3.
Enter your answer as an ordered pair in the format $(a,b)$, where $a$ and $b$ are replaced by appropriate numbers. read more ..

AUnVerifedTaxPayer Feb 20, 2025

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24

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+294

Algebra

When g(x) is divided by x^2 - x - 6, the remainder is 2x + 7. What is the value of g(8)?

AUnVerifedTaxPayer Feb 20, 2025

+1

23

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+14

1. Explain/show how to find the amplitude of the function f(x)=-5 sin(x/3)-1.

1. Explain/show how to find the amplitude of the function f(x)=-5 sin(x/3)-1.

2. Explain/show how to find the equation of the midline for the function f(x)=-5 sin(x/3)-1.
3. Explain/show how to find the frequency read more ..

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queenirene721 Feb 20, 2025

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MATHEMATICS

1. Explain/show how to graph the function f(x)=sin(pix/3).

PLEASE HELP ME GRAPH IT TOO <33

2. In the function f(x)=cos x, f(x) is multiplied by a factor of 3, x is replaced with 4x and 5 is added to the function. read more ..

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queenirene721 Feb 20, 2025

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25

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+294

Algebra

Find the quotient and remainder when p(x) is divided by q(x)$, where p(x) = x^4 - x^2 + 3x - 7 and q(x) = x^2 + 2x - 5.

AUnVerifedTaxPayer Feb 20, 2025

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24

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+294

Algebra

Find the quotient and remainder when p(x) is divided by q(x), where p(x) = 9x^4 + x^3 - 12x + 21 and q(x) = x.

AUnVerifedTaxPayer Feb 20, 2025

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38

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+294

Algebra

Find the quotient and remainder when p(x) is divided by q(x), where p(x) = x^2 + 2 and q(x) = x^4 + 11x^2 - 7x + 10.

AUnVerifedTaxPayer Feb 20, 2025

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27

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+294

Algebra

An ellipse and a hyperbola have the same foci, $A$ and $B$, and intersect at four points. The ellipse has major axis $24,$ and minor axis $13.$ The distance between the vertices of the hyperbola is $5$. Let $P$ be one of the points of intersection read more ..

AUnVerifedTaxPayer Feb 20, 2025

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+14

Graph a sine function whose amplitude is 3, period is pi, midline is y=-2, and y-intercept (0,-2).

Graph a sine function whose amplitude is 3, period is pi, midline is y=-2, and y-intercept (0,-2).

PLEASE HELP ME GRAPH IT <33

queenirene721 Feb 20, 2025

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+294

Algebra

Square ABCD has side length 6. An ellipse $\mathcal{E}$ is circumscribed about the square and there is a point $P$ on the ellipse such that $PC = PD = 8$. What is the area of ellipse $\mathcal{E}$? (You may assume the sides of the square are parallel to read more ..

AUnVerifedTaxPayer Feb 20, 2025

Feb 19, 2025

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16

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+294

Algebra

Find the constant k so that the equation
4x^2 + 9y^2 - 8x + 54y + k = 2x^2 + 5y^2 - 12x + 34y
represents an ellipse which has an area of 6 \pi.

AUnVerifedTaxPayer Feb 19, 2025

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44

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+294

Algebra

Find the asymptote of the hyperbola from part (a) with positive slope.
Enter your answer as an equation of the form $y = mx + b$.
-4x^2 + y^2 - 2y = -3y^2 + 8x + 9y + 15

AUnVerifedTaxPayer Feb 19, 2025

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+294

Algebra

Find the vertices of the hyperbola from part (a).
-4x^2 + y^2 - 2y = -3y^2 + 8x + 9y + 15

AUnVerifedTaxPayer Feb 19, 2025

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+294

Algebra

Parts (a)-(c) refer to the graph of
-4x^2 + y^2 - 2y = -3y^2 + 8x + 9y + 15
which is a hyperbola.
Find the center of the hyperbola.

AUnVerifedTaxPayer Feb 19, 2025

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44

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+294

Algebra

Find the foci of the ellipse shown below.
Enter your answer as a list of ordered pairs separated by commas.
Points on the ellipse are (-4,9), (-7,2), (-5,2), (-7, 1)

AUnVerifedTaxPayer Feb 19, 2025

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44

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+294

Algebra

Find the conic section represented by the equation
-x^2 + 2y^2 - 8x + 10y - 43 = 3y^2 - 17x + 14

AUnVerifedTaxPayer Feb 19, 2025

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26

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+294

Algebra

Find the conic section represented by the equation
4x^2 - 8y^2 - 28x + 49 = 4x^2 + 5x - 11y + 20

AUnVerifedTaxPayer Feb 19, 2025

0

50

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+294

Algebra

Find the conic section represented by the equation
5x^2 + y^2 + 10x - 4y + 17 = -4y^2 - 18x + 12y

AUnVerifedTaxPayer Feb 19, 2025

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