For the polynomial function, y = 3x* + 5x – 13x2 – x + 6 , Fully factor (using factor, rational zero theorems, long division) • Sketch a graph of the function • Identify and label key features on the graph including X and Y intercepts

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A: Descartes' Rule of Sign – It is used to determine the number of real zeros of any given polynomial…

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Q: Sketch the graph of the function g(x) = −x2 + 10x − 16 by (a) applying the Leading Coefficient Test,…

A: Given: Sketch the graph of the function g(x) = −x2 + 10x − 16 by (a) applying the Leading…

Q: Using MOSA method, what is the polynomial y1 for

A: Given,           y'=x+y2 if y(0)=2

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Q: The graph of a quartic polynomial f(x) with integer zeros is shown to the right. Write the complete…

A: F(x) = (x + 1)²( x - 3)²

Q: Prove that x- 3 is a factor of the polynomial x + 4x-17x2-14x + 6 without referring to the graph.

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Q: Use a graphing utility to obtain a complete graph for the polynomial function  f(x) = x3 - 6x -…

A: Given polynomial function:

Q: Given:f(x) = x3 − 4x2 − 25x + 100.(a) find real zeros of the polynomial function, (b) determine…

A: Given: f(x)=x3-4x2-25x+100

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What degree polynomial is g(7) (x) for the function g (x) + 4x19 you know? (You don't have to…

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Q: Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits…

A: P(x) = −(2x − 1)(x + 1)(x + 4)

Q: A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the…

A: Solve the given problem.

Q: Differentiate the function f (x) = (3x2 + x - 2)2 in two ways. (a) Use the general power rule. (b)…

A: To differentiatef(x)=(3x2+x-2)2 in two ways

Q: If a third degree polynomial has a lone x-intercept at x=a, discuss what this about the linear and…

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Q: Given:f(x) = x4 − x3 − 30x2.(a) find real zeros of the polynomial function, (b) determine whether…

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Q: What are the zeros of a polynomial function and how are they found?

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Q: Sketch the graph of the function f(x) = −5x2 − x3 by (a) applying the Leading Coefficient Test, (b)…

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Q: Describe the properties of the graph of the given polynomial functions as to the following * Leading…

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Q: Find the x-intercepts of the polynomial function. f(x) = x3 – 3x2 - x + 3 (x, f(x)) : |(smallest…

A: f(x)=x3-3x2-x+3

Q: If a house is purchased for $111,000 and is expected to appreciate $1100 per year, its value after x…

A: Given, the expression for the first house is, f(x)=1100x+111000 Then, the cost of the first house…

Q: P(x) = -(x – 3)²(x + 1)²

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Q: express the volume of the box as a polynomial function in terms of X

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Q: For the equations 2x3 - 5x2 + x + 2 = 0,  2x3 - 3x2 - 11x + 6 = 0, 12x3 + 16x2 - 5x - 3 = 0 and 3x3…

A: Given: 2x3-5x2+x+2=02x3-3x2-11x+6=012x3+16x2-5x-3=03x3+7x2-22x-8=0 Note: Here we are solving for…

Q: 4. Explain and show all the possible number of x-intercepts (zeros) for a polynomial function with a…

A: Given: A polynomial function of degree 3.

Q: The common cold is caused by a rhinovirus. After x days of invasion by the viral particles, the…

A: Given: f(x)=-0.75x4+3x3+5 The leading coefficient of the function f(x)=-0.75x4+3x3+5 is -0.75…

Q: Analyze the polynomial function f(x)=x^4−2.12x^2+0.3136 Approximate the turning points of the…

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Q: 6) y=x"-13x+36; x+3 and x-3

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Q: 13.) f(X)= ZX -7X3-27x²+63X+81

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Q: The accompanying bar graph shows the net earnings (in millions of dollars) for a certain company.…

A: x = 19 corresponds to 2019.

Q: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial…

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Q: Determine Number of Zeroes Num of the Polynomial function: F(x)=x²₁²-9x Zero (5)

A: We have to find zeros

Q: P(x) 3 x³ (x + 2)(x – 3)²

A: Given polynomial function Px=x3x+2x-32. The main objective is to sketch the graph of this polynomial…

Q: Show the synthetic division work that reveals the two real zeros of the polynomial function. f(x) =…

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: Analyze the polynomial function   f(x)=x3+2.56x2−3.31x+0.89  Approximate the turning points of the…

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Q: Show all work and sketch the graph of each of the polynomial function f(x)=-x3−x2+17x−15. Explain…

A: To graph the polynomial function

Q: The graph of a quartic polynomial f(x) with integer zeros is shown to the right. Write the complete…

A: Here from graph zeros must with even multiplicities because graph touches x axis

Q: Find the zeros for the polynomial function f(x) = x3 + 4x2 + 4x and give the multiplicity for the…

A: Find the Zeroes of fx=x3+4x2+4x                          = xx2+4x+4    Factor out the GCF x…

Q: What are the zeros of the polynomial function y = (x - 3)(2x + 1)(x - 1)

A: The given polynomial is y=x-32x+1x-1.

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A: Given that the turning point of the function is (2,0).

Q: onstruct a polynomial function with the following properties: fifth degree, 4 is a zero of…

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Q: Examine the leading term and determine the far-left and far-right behavior of the graph of the…

A: Examine the leading term and determine the far-left and far-right behavior of the graph of the…

Q: Use the graph to identify the formula for a polynomial function of least degree. y 5- 4- 2 1+ +►X -5…

A: 1. Identify the x-intercepts from the graph In the above graph the x intercepts are at x=-4 , x=-2…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Given  zeros of polynomial x= -1 and x= 4

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.