If polynomial (Px)=x2-5x+6 , then find its zeroes and relation between coefficient s and its zeroes ?
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Step-by-step explanation:
x²-5x+6
by split middle term we get
x²-3x-2x+6
x(x-3) -2(x-3)
(x-3) (x-2)
so x = 3,2
let A and B are the zeroes of polynomial
so sum of zeroes(A+B) = 3+2 = -b/a
= 5 = -(-5) /1
5= 5
and product of zeroes( A×B) = c/a
3×2=6/1
6=6
here c is the coefficient :)
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