Find a quadratic polynomial whose zeroes are:
Zeroes of a polynomial:
The zeros of a polynomial are all the values of that make the polynomial equal to zero.
Example:
Let,
At, ,
Then, is a zero of .
Formula:
We know that a quadratic polynomial whose zeroes are given can be represented as:
Explanation:
As the zeros are given
Therefore, the product of the roots
The sum of the roots
Calculation:
The required polynomial is
Conclusion:
Polynomial:
A polynomial is an expression of more than two algebraic terms, including the sum of several terms that contain different powers of the same variable(s).
Here, the polynomial is ,where is non-zero constant.
Final Answer:
Hence the polynomial is