Form a quadratic polynomial whose zeroes are 5,-6
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4
x²-5x-6
sum is 5
product is -6
dylandiva:
it's given only zeroes not sum of zeroes and product of zeroes
Answered by
11
Given zeroes 5,-6
Sum of zeroes =-b/a
5+(-6)=-b/a
5-6=-b/a
-1/1=-b/a
Product of zeroes =c/a
5*-6=c/a
-30/1=c/a
Req. Polynomial =
k[x^2-(sum of zeroes) x+product of zeroes]
=k[x^2-(-1)x+(-30)]
Let k=1
=1[x^2+x-30]
Hence Req. Polynomial =x^2+x-30
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