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The one zero of the polynomial …

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The one zero of the polynomial p(x)=x3 - 6x2+11x-6is 3 find the other two zeroes

Posted by Satyam Mishra 5 years, 5 months ago

Yogita Ingle 5 years, 5 months ago

p(x)=x³−6x²+11x−6

p(x)=(x−3)(x²−3x+2)
p(x)=(x−3)(x₂−2x−x+2)
p(x)=(x−3)(x−1)(x−2)

(x−1)(x−2)(x−3)=0

x=1,2,3

Thus, the other two zeroes of the polynomial are 1 and 2.

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