Question

P(x)=x2_4x+5 find the zeros of the polynomial
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Answer 1

Solution

$Given, p(x)=x 2 −4x+3=x 2 −3x−x+3=x(x−3)−1(x−3)=(x−3)(x−1)$

$For zeroes of polynomial, p(x)=0i.e. (x−3)(x−1)=0or, x=3 or x=1Let, α=3 and β=1α+β= a−b​ αβ= ac​ Here, a=1b=−4c=3α+β=4αβ=3$