Find a polynomial of degree 3 that has zeros – 1, – ,and 2 such that the coefficents are integers.2'-

Let the polynomial equation be(x-α)(x-β)(x-γ)=0where α,β,γ are zeros

Answered: Find a polynomial of degree 3 that has…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find a formula for the polynomial of least degree that is graphed below.
Create a polynomial function of the form: f(x) = a (bx + e)(cx +g}*(dx + h)°, with the following conditions: i) a,b,c,d,e,g.h are non-zero integers. ii) the three factors must be different ii) a,b,c,d can all be set to one if you like iv) f(x) has to pass through all 4 quadrants Use your Curve Sketching Plan to fully characterize your function and draw an accurate sketch showing all significant features.
Find a polynomial p(x) = ao + a1x + azx² + a3x³ of degree < 3 (here ao, a1, a2, az are real numbers) such that p(-2) = 49, p(-1) = 10, p(0) = 1, and p(1) = -2. No credit will be given for a correct polynomial without supporting work.
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I need help with thse questions on Methods for Finding Zeros of Polynomials
Determine a possible 4th degree polynomial function in factored form with its only zeros at (5, 0) and (-3, 0) and (-5, 0) and (9,0).
By Discrate rules of sign find the no. of real zeros of polynomial p(x)=x⁵ + 4x⁴ - 3x² + x - 6
Show that the given values for a and b are lower and upper bounds for the real zeros of the polynomial. P(x) = 2x3 + 9x2 + 3x – 4; a = -5, b = 1 for a = -5: -5[ 2 9. 3 -4 Since the row containing the quotient and remainder has ---Select-- a = -5 is | ---Select--- for b = 1: 1 2 Since the row containing the quotient and remainder has --Select--- b = 1 is -Select---
7) Find a polynomial function with rational coefficients where some of its zeros are a)-i, 6 b) −1, 4, 1 + i
Write the polynomial as the product of linear and quadratic factors that are irreducible over the reals. Ax) = x* + 42x2 – 343 o (x? + 49)(x + 7)(x – 7) | (x² + 49)[x + /7)(x + /7) o (x? + 49)(x - V7)(x - 7) (x² + 49)(x + 7)(x - /7) (x² + 49)[x + /7][x - /7)
What are the possible integer zeros of each polynomial function? a) a) P(n) = n ^ 3 - 2n ^ 2 - 5n + 12 b) P(p) = p ^ 4 - 3p ^ 3 - p ^ 2 + 7p - 6 c) P(z) = z ^ 4 + 4z ^ 3 + 3z ^ 2 + 8z - 25 d) P(y) = y ^ 4 - 11y ^ 3 - 2y ^ 2 + 2y + 10
Select the correct polynomial who is a fifth degree and has zeros at -3, 0, 1, 2. O y = x²(x+3)(x - 1)³ (x - 2) O y = x²(x+3)²(x - 1)(x - 2) O y = x²(x+3)(x - 1)(x - 2) O y = x (x − 3)(x + 1) (x + 2) Support Pow

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Find a polynomial of degree 3 that has zeros – 1, 1 and 2 such that the coefficents are integers= 2'