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Find zeroes of the polynomial 5t^(2)+12x...

Find zeroes of the polynomial `5t^(2)+12x+7` by factorisation mothod and verify the relation between zeroes and coefficients of the polynomial.

Text Solution

Verified by Experts

The correct Answer is:
N/a
Let `" " p(t)=5t^(2)+12t+7=5t^(2)+5t+7t+7`
`=5t(t+1)+7(t+1)=(t+1)(5t+7)`
`:. " " p(t)=0`
`implies " " (t+1)(5t+7)=0`
`implies " " t+1=0 " " or " " 5t+7=0`
`implies " " t=-1 " " or " " t=-(7)/(5)`
`:.` Zeroes of p(t) are -1 and `-(7)/(5)`.
Now, sum of zeroes `=(-1)+(-(7)/(5))=-(12)/(5)=-("coefficient of" t)/("coefficient of" t^(2))" "` Hence Verified.
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