Question

A polynomial p(x), which has sum of its zeroes equal to their product, is ______.

Options

• 3x² + 2x + 2

• 3x² − 2x − 3

• 3x² − 2x + 2

• x² − 3x + 2

Answer 1

A polynomial p(x), which has sum of its zeroes equal to their product, is 3x² − 2x + 2.

Explanation:

In the polynomial 3x² − 2x + 2

Sum of zeroes `(−b/a) = − (−2)/3 = 2/3`

Product of zeroes  `(c/a) = 2/3`

Since the sum and product are equal, this matches the condition in the question.