For what value of r is 3 as zero of the polynomial 2x2+x+k
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Solution: Given, 3 is a zero of polynomial 2x2 + x + k,
Now, let another zero of the polynomial is a
therefore
sum of the zeroes =coefficient of x/ coefficient of x^2
3a=-1/2
a=-7/2 1
and
product of the zeros=constant zero/coefficient of x^2
3×a=k/2
k=6a
k=6×-7/2 (from 1)
k=-21
hence the value of k is -21
Now, let another zero of the polynomial is a
therefore
sum of the zeroes =coefficient of x/ coefficient of x^2
3a=-1/2
a=-7/2 1
and
product of the zeros=constant zero/coefficient of x^2
3×a=k/2
k=6a
k=6×-7/2 (from 1)
k=-21
hence the value of k is -21
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