MAT109Test 2Given (-3 + i) is a root of the polynomial f(x) = 4x3 + 23x² + 34x – 10, find all rootsand write the function in factored form with linear terms of the form (ax - b).a) Irrational roots:b) Rational roots:c) Factored form:

Question : Polynomial: f(x)=4x3+23x2+34x-10 One of the roots given: -3+i Finding other roots:…

Given (-3 + i) is a root of the polynomial f (x) = 4x³ + 23x2 + 34x – 10, find all roots %3D and write the function in factored form with linear terms of the form (ax - b). a) Irrational roots: b) Rational roots: c) Factored form:

Given (-3 + i) is a root of the polynomial f (x) = 4x³ + 23x2 + 34x – 10, find all roots %3D and write the function in factored form with linear terms of the form (ax - b). a) Irrational roots: b) Rational roots: c) Factored form:

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 8CT

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.

Question

MAT109
Test 2
Given (-3 + i) is a root of the polynomial f(x) = 4x3 + 23x² + 34x – 10, find all roots
and write the function in factored form with linear terms of the form (ax - b).
a) Irrational roots:
b) Rational roots:
c) Factored form:

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