A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is

Video Explanation

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Given

Sum of the zeroes = 0

One zero = 3

To Find

The required quadratic polynomial.

Solution

Let the zeroes of the quadratic polynomial be:

3 and α

Since the sum of zeroes is 0:

3 + α = 0

∴ α = −3

So, the zeroes of the polynomial are:

3 and −3

Step 1: Form the Polynomial

The quadratic polynomial with zeroes 3 and −3 is:

(x − 3)(x + 3)

= x² − 9

Final Answer

The required quadratic polynomial is:

x² − 9

Correct Option

(a) x² − 9

Conclusion

Hence, the quadratic polynomial whose sum of zeroes is 0 and one zero is 3 is x² − 9.