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If one zero of quadratic polynomial be 1 point
the reciprocal of the other, then kis ,
if polynomial is
3x square+ 5x +k
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Correct Question:
If one zero of quadratic polynomial be the reciprocal of the other, then value of k is:
The polynomial is 3x² + 5x + k
Solution:
The zeroes or the roots of the polynomial are reciprocal of each other. Then we can consider the roots be α and 1/α.
- Product of the zeroes is given by constant term / coefficient of x². So, according to these relation:
➝ α × 1/α = k / 3
The product of reciprocals is 1.
➝ 1 = k / 3
Cross multiplying to get the value of k,
➝ k = 3 (Answer)
Tip:
Most of the times, we remember the sum and product of zeroes in terms of a,b and c by comparing the quadratic polynomial with ax² + bx + c, but according to me we should remember by the coefficient relation which is easier and accurate.
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