SOLUTION: 7x^3-62x^2+167x-102, 4-i is a zero
a, find all the zeros
b,factor f(x)as a product of linear factors
c,solve the equation f(x)=0
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Question 959556: 7x^3-62x^2+167x-102, 4-i is a zero
a, find all the zeros
b,factor f(x)as a product of linear factors
c,solve the equation f(x)=0
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a. find all the zeros
,
if is a zero, then is a zero
using zero product formula we have =>
now we need to use long division and divide by
--------------
|
-------------
----------------.....
---------------......
---------------............................. =>reminder
so, third zero is , and the product of all zeros is:
or
b. factor as a product of linear factors
...write as and as
......group
c. solve the equation
or like we have in a.
solutions:
=>=>
and two already given zeros
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