Question

A quadratic polynomial, the sum of whose zeroes is −5 and their product is 6, is ______.

Options

• x² + 5x + 6

• x² − 5x + 6

• x² − 5x − 6

• − x² + 5x + 6

Answer 1

A quadratic polynomial, the sum of whose zeroes is −5 and their product is 6, is x² + 5x + 6.

Explanation:

Given:

Sum of zeroes = −5 and product = 6

According to quadratic polynomial ax² + bx + c,

The sum of roots = `- "b"/"a" = - (-5)/1`

Product of roots = `"c"/"a" = 6`

Thus, a = 1, b = 5 and c = 6

By substituting value in quadratic polynomial, we get,

1x² + (5)x + 6

= x² + 5x + 6