Multiple choice

The quadratic polynomial, whose sum of zeroes is 3 and product of zeroes is - 2, is

  1. x2 + 3x - 2

  2. x2 - 2x + 3

  3. x2 - 3x + 2

  4. x2 - 3x - 2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a monic quadratic, the polynomial is x^2 - (sum of zeroes)x + product of zeroes. Substituting sum 3 and product -2 gives x^2 - 3x - 2. Hence, option D is correct.

AI explanation

A quadratic polynomial can be expressed as x^2 - (sum of zeroes)x + (product of zeroes). Plugging in the given values, the sum of 3 and the product of -2, we get x^2 - (3)x + (-2). This simplifies to the expression x^2 - 3x - 2. The correct polynomial is x^2 - 3x - 2.

Keep practicing — related questions