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## Related Algebra Q&A

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Q: 2. a) Give 3 different reasons why the following graph cannot be the the graph of the polynomial…

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: If c is a zero of the polynomial P, then consider the following. (a) P(c) = (? +) (b) x - c is a (…

A: Click to see the answer

Q: Find a third-degree polynomial p(x) that is tangent to the line y = 14x − 13 at the point (1, 1),…

A: Let px=ax3+bx2+cx+d →1 be the required third-degree polynomial. Differentiating with respect to x,…

Q: 7. The following is a graph of a polynomial of degree 3, -374-- 2 -1 -3 -2 -1 3. -1 --2 --3 2.

A: See the attachment

Q: If c is a zero of the polynomial P, then(a) P(c)=________.(b) x c is a___________ of P(x) .(c) c is…

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Q: The minimum polynomial of 5'3 over Q is x 1/3

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Q: 2. Determine the polynomial of degree 4 whose graph is shown in the figure. SLO 2 5 4 3

A: Given query is to find the polynomial for the graph.

Q: 10) Find the cost of evaluating p2(x), for a specific x, where p2(x) is the Lagrange interpolating…

A: The cost of p2 (x) for a specific value of x will be given by following formula-

Q: Graph the polynomial P(x) = -(x + 3)3 + 8, showing clearly all x- and y-intercepts. y y 20 50- 10 40…

A: x - intercept , where the graph cut the x - axis . And y - intercept , where the graph cut the y -…

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Q: Find a polynomial of a degree n that has only the given zero(s). x=-8,5,3; n=3

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Q: 1. Give a polynomial function that only has x intercepts of 2, 4, and -1 with a y intercept of -8.

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Q: 4. Write a polynomial to express the total value, T(x), of (x + 4) 20-Peso bills (x – 3) 50-Peso…

A: Click to see the answer

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Q: 2 What is the least possible degree of the polynomial graphed above'

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Q: 4. Write a polynomial to express the total value, T(x), of (x + 4) 20-Peso bills, (x – 3) 50-Peso…

A: Click to see the answer

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Q: 15. If the end behavior of a graph of the polynomial function rises to the right and falls to the…

A: Click to see the answer

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Q: 3. If any of the linear factors of a polynomial function are squared, then which of the following is…

A: In this question, we have to find the correct option for the given statement as If any of the linear…

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Q: Graph the polynomial P(x) = -(x + 2)3 + 27, showing clearly all x- and y-intercepts. y y 50 50아 40…

A: In this question we will use basic of calculus i.e concept of graphing of polynomial function. We…

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Q: The polynomial p(x) = (3 – 2x) (x – 5) is graphed in the coordinate plane. Which statement about the…

A: Given polynomial is : p(x) = (3 - 2x) (x2 - 5 ).

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Q: Which of the following is the graph of an even-degree polynomial with a positive lead coefficient?

A: Click to see the answer

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Q: Prove that you can find a polynomial p(x) = Ax2 + Bx + C that passes through any three points (x1,…

A: we have to prove that we can always find a polynomial p(x) = Ax2 + Bx + C that passes through any…

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Q: Find the polynomial P( x) of the degree 3 whose graph is shown. 4 3 2 1. -5 -4 -3 -2 2 5 -1- -2+ -3+…

A: Click to see the answer

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Q: 2. Sketch a graph of a quartic polynomial function y = fx) such that: € fu) > 0 when - 2 1

A: In the given question we have to draw the graph of a quadretic polynomial s.t f(x)>0 when…

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Q: Find the conditions that the zeroes of the polynomials f(x) =x - px+ qx – r may be in arthametic…

A: Click to see the answer

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Q: 9. Use the graph of )-+3x-4 to identify the values of x for which - and to factor ). a. x- 2,x - c.…

A: Topic - functions Point at which graph cuts the x axis is zero of the polynomial or f(x)=0 at that…

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Q: If f(x) is a polynomial with real coefficients and zeros of –2 (multiplicity 3), 3 (multiplicity 2),…

A: The polynomial has real coefficients. The multiplicity of a root of a polynomial is the number of…

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Q: 1. Give a polynomial function that only has x intercepts of 2,4, and -1 with a y intercept of -24.

A: Click to see the answer

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Q: If the end behavior of a graph of the polynomial function rises both to the lef and to the right,…

A: Given

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Q: Consider the following points. (-2, 20), (-1, 0), (0, –2), (1, –4), (2, 0) (a) Determine the…

A: Explanation: According to the question: x-intercepts are (-1,0) & (2,0) It means polynomial…

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Q: Suppose g(x) is a polynomial function such that g(-1)=4 and g(2)=7 . Then there is a number c…

A: Suppose g(x) is a polynomial function such that g(-1)=4 and g(2)=7 . Then there is a number c…

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Q: In Horner's method suppose x0 is a root of p(x). show that the numbers bk(x0) produced by…

A: a. Let the polynomial be Px=∑k=0nakxn-k (i) Given that x=x0 be a root of the…

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Q: 2-Suppose that you have n data points (x1, y1), ..., (xn, yn), with the xi all distinct. Which of…

A: Question 2 is related to Existence and Uniqueness of interpolating polynomials Question 3 is asking…

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Q: 2 What is the least possible degree of the polynomial graphed above?

A: Explanation: Here we see that, end behaviour of the given graph is: When x goes to positive or…

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Q: 2 What is the least possible degree of the polynomial graphed above?

A: Click to see the answer

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Q: Suppose that f(x) and g(x) are polynomials in x . Can the graph of f(x)/g(x) have an asymptote if…

A: Click to see the answer

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Q: The polynomial p(x)=(3−2x)(x^2−5)p(x)=(3−2x)(x^2−5) is graphed in the coordinate plane. Which…

A: Given: The equation polynomial as px=3-2xx2-5, To determine: The nature of the polynomial when x→±∞.

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Q: If c is a zero of the polynomial P, then consider the following. (a) P(c) = ? -1, 0, 1, c, or…

A: Given c is zero of the polynomial.

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Q: If r is a real zero of even multiplicity of a polynomial function f,then the graph of f_______…

A: We have the given statement that If r is a real zero of even multiplicity of a polynomial…

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Q: If r is a real zero of even multiplicity of a polynomial function f, then the graph of f ________…

A: Fill the blank

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Q: Find the polynomial P( x) of the degree 3 whose graph is shown. 5 4 2+ -5 -4 -3 -2 3 4 -1 -2+ -3+ -4…

A: The given graph touches or cut the x-axis at x=-2, x=-2 and x=1 So the zero’s of the polynomials…

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Q: The graph of a cubic polynomial contains the points on this table. -4 -3 1 -5 y At its far LEFT, a…

A: Click to see the answer

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Q: Find a polynomial of minimal degree with zeroes 2, -3 and 5 that has a y-intercept (0, 6).

A: Click to see the answer

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Q: of What is the least possible degree of the polynomial graphed above? on

A: The Meaning of degree of polynomial , geometrically is that the nth degree polynomial cut's the x -…

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Q: In the set of polynomials in the form: P(x) = ax + bx' + cx² + dx + e, x E R there is a subset M,…

A: Given the polynomial M=px=ax4+bx3+cx2+dx+e, x∈ℝ|x,p(x)=-2,4,-1,0,1,-2,3,6. (a) Consider a cubic…

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Q: 1. Fill in the table below with information about each of the following polynomials. Polynomial…

A: Note: (1)Even degree, positive leading coefficient then End behaviour of function is f(x)=+∞ (2)Even…

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Q: 8. Construct a polynomial with Z coefficents with a root of the given C 3+ V5 (a) (b) 2+ 3і (c) 1-…

A: We have to solve the given problem.

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Q: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A: Other zeros of the 5 degree polynomial are to be found.

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Q: Consider the following points. (-1, 7), (0, 0), (1, 1), (4, 58) (a) Determine the polynornial…

A: Click to see the answer

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Q: If p(x) is a polynomial then the function f(x)= x-1 p(x) has a vertical asymptote at x = 1.

A: if f(x) RHL or LHL is infinite at x=1 then f(x) has vertical asymptotes but here limit is finite at…

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Q: Find the polynomial of the specified degree whose graph is shown. Degree 4 P(x) = %3D y 12 10 6 4 -4…

A: We are given the following graph. By looking at the graph, it can be said that the graph must be of…

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Q: Use the intermediate value theorem to show that the polynomial has a real zero between the given…

A: The given function is