Find a polynomial with integer coefficients that satisfies the given conditions.Q has degree 3 and zeros -7 and 1 + i.Q(x) =

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Answered: Find a polynomial with integer…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 10CT

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Similar questions

The polynomial P(x)=5x2(x4)3(x+7) has degree ___________. It has zeros 0, 4, and ______________. The zero has multiplicity _________
Which of the following statements couldn't possibly be true about the polynomial function P? (a) P has degree 3, two local maxima, and two local minima. (b) P has degree 3 and no local maxima or minima. (c) P has degree 4, one local maximum, and no local minima.
Find a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.
Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.
If the polynomial function P(x)=anxn+an1xn1+....+a1x+ao< has integer coefficients. then the only numbers that could possibly be rational zeros of P are all of the form pq, where p is a factor of _________and q is a factor of _______________. The possible rational zeros of P(x)=6x3+5x219x10 are __________________________.
DISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q are the same. P(x)=3x45x3+x23x+5 Q(x)=(((3x5)x+1)x3)x+5 Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial R(x)=x52x4+3x32x2+3x+4 in nested form, like the polynomial Q. Use the nested form to find R(3) in your head. Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value of a polynomial using synthetic division?

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Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros -7 and 1 + i. Q(x) =