Factorize:
x^3-9x^2+23x-15
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5
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p(x)= x^3-9x^2+23x-15
let us try with, p(5)
p(5)= 5^3-9×5^2+23×5-15
= 125-225+115-15= 0
so (x-5) is a factor of p(x)
by hit and trial method we get:-
x^2(x-5)-4x(x-5)+3(x-5) is a factor of p(x)
[(x^2-4x+3)(x-5)] are factors of p(x)
(x^2-3x-x+3)(x-5) are factors of p(x)
{x(x-3)-1(x-3)}(x-5) are factors of p(x)
(x-1)(x-3)(x-5) are factors of p(x).
hope it helps you
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