Find a cubic polynomial whoes zeros are alpha,beta and gama, given by the relation, sigma alpha= 3, sigma alpha square=2 and sigma alpha cube = 3.
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Step-by-step explanation:
Let us consider a general case of a polynomial:
Suppose , and are zeros.
Then we have:
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In this question, we are also given that are zeros.
Let us assume the cubic polynomial to be:
We are given:
Also,
And then:
So, we have:
Now, we can substitute these values in the general form and find the polynomial:
If we name this polynomial as , our answer becomes:
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