The coefficient of x' in the cubic polynomial g(x) is a, where a >0, The repeated roots of the equation g(x)3D0 are 2. Find the value of a if g(x) has a remainder of and 28 2 when divided by (x+1) and (x-4) respectively.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.2: Complex Solutions Of Equations
Problem 7ECP: Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.
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the previous tutor here came up with the wrong answer for me, he got the answer as a=10 which is wrong. please help only if u know how to solve

The coefficient of x' in the cubic polynomial g(x) is a, where a >0. The repeated roots
of the equation g(x)%3D0 are 2. Find the value of a if g(x) has a remainder of
9
and 28
2
when divided by (x+1) and (x-4) respectively.
Transcribed Image Text:The coefficient of x' in the cubic polynomial g(x) is a, where a >0. The repeated roots of the equation g(x)%3D0 are 2. Find the value of a if g(x) has a remainder of 9 and 28 2 when divided by (x+1) and (x-4) respectively.
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