If alfha and beta are the zeroes of the polynomial,such that alpha+beta=6 and alpha×beta=4,write the polynomial
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Consider a polynomial,...
If α and β are the zeroes of p(x), then,
Given that,
Let the coefficient of x² of p(x), i.e., a be 1.
Thus,
Now, we can make a polynomial.
Hence a polynomial is found! We can make more other polynomials by giving many other values for a.
Here another polynomial is formed.
Here we can find out that the polynomial obtained here is 'a' multipled by the first polynomial.
Hence we can say one thing.
Here, a = n.
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