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Find the zeroes of the polynomial …

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Find the zeroes of the polynomial x^2+x-a(a+1)

Posted by Rishika Verma 7 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Susai Raj 7 years, 6 months ago

x^2 + x - a(a+1) =0 =>

x^2 + (a+1)x - ax - a(a+1) = 0 =>

x{x+(a+1)} - a{x+(a+1)} = 0 =>

{x+(a+1)}(x-a) = 0 =>

x+(a+1) = 0 or x+a = 0. (Since if ab=0 then either a=0 or b=0) =>

x = -(a+1) or x = -a ie x = -a -1 or x = -a

So the zeros of the given polynomial are -a -1 or -a.

3Thank You

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