9–14. Graphing polynomials Sketch a graph of the following połyno-mials. Identify local extrema, inflection points, and x- and y-interceptswhen they exist.9. f(x) = x³ – 6x² + 9x10. f(х) — Зх — х311. f(x) = x* – 6x?12. f(х) — 2x6 -Зх413. f(x) = (x – 6)(x + 6)?14. f(x) = 27(x – 2)?(x + 2)

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 66E

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4. Find the equation for a polynomial function in factored form with zeroes at x=-1 order 3 and at x=1 order 2 and the graph passes through (-2, 18). (5)
Newton’s Interpolation for a first order polynomial with x0=0 and x1=10 Newton ‘s Divided-Difference of second order polynomial with x0=0, x1=10 and x2=20 Newton ‘s Divided-Difference of third order polynomial with x0=0, x1=10, x2=20 and x3=30 Lagrange Interpolation with x0=0, x1=10, x2=20, x3=30 and x4=40
3. Given the polynomial function y = A x^3 + 6x^2- Bx , where A and B are unknown constants. If possible, determine the values of A and B so that the graph of y has a maximum value at x= -1 and an inflection point at x=1 .
3. Finding a Polynomial Find a third-degree polynomialp(x) that is tangent to the line y = 14x − 13 at the point (1, 1),and tangent to the line y = −2x − 5 at the point (−1, −3).
Find the Taylor's polynomial po, P1, P2 and p3 for f(x) = ln(x) at x =1 Use a graphing utility to compare the graph of f(x) with graphs of po, P₁, P2 and p3
1 ) Find the cubic polynomial function f(x) with real coefficient that has 2, and 1-i as zero and f(1)=3 2 ) Find the quartic ( fourth degree) polynomial function f with real coefficients that has 1,-2 and 2i as zeros and f(-1)=10 3) Find the cubic polynomial function f(x) with real coefficient that has 2, and 1-i as zero and f(1)=6 4 ) Find the quartic ( fourth degree) polynomial function f with real coefficients that has 1,-2 and 2i as zeros and f(-1)=20
alpha and beta are zeros of the quadratic polynomial x square-6x+y find the value of y if 3 alpha+2 beta=20
13. please HELP me answer this question!! Well explained. 1.The polynomial function of the third degree, g (x), has a zero whose value is -2. It also has a double zero whose value is 3. The representative curve of the function passes through the point (2, 20). Determines the equation of the function in its reduced and ordered form.
Q1: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Second-degree, with zeros of −6 and 5 , and goes to −∞ as x→−∞. Q2: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −2, −1, and 3, and passes through the point (1,10). Q3: Find a 4th degree polynomial with the properties:f(−2)=0,f(6)=0, f(x)has a root multiplicity 2 at x=1, and f(0)=4 You may leave your answer in factored form, you do not have to multiply it out. Q4: Find the equation of the 6th degree polynomial shown here. f(0) = -40 You may leave your answer in factored form, you do not have to multiply it out. Q5: Construct a polynomial function with the following properties: third degree, 3 is a zero of multiplicity 2, −2 is the only other zero, leading coefficient is 3.
1) Let f be the polynomial function of degree 4 with real coefficients, leadingcoefficient 1, and roots x = 2 + i, 3, −3. Let g be the polynomial function of degree 4 with intercept (0, −3) and roots x = i, 3i. Find (f + g)(1).
Graph the function Y1 = 1/1 - x and its fourth Taylor poly-nomial in the window [-1, 1] by [-1, 5]. Find a number bsuch that graphs of the two functions appear identical on the screen for x between 0 and b. Calculate the difference between the function and its Taylor polynomial at x = b.
the cubic polynomial shown below has zeros at x= -4 and x=2 only has a relative maximum at (-2,8). which of the following is its y-value when x=6?

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