Find zeroes of the polynomial mx2 + (m+n)x + n.
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Answer to your question:
Given,
The polynomial,
mx²+(m+n)x+n
=mx²+(m+n)x+n
=mx²+mx+nx+n
=mx(x+1)+n(x+1)
=(x+1)(mx+n)
We get (x+1)=0, (mx+n)=0
So, according to the rule, the value of x will be the zeros of the polynomial.
Either, x+1=0 => x=-1 or mx+n=0 => mx=-n => x =-n/m
Hence, the zeros of the polynomial are -1,-n/m
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