Question

(x – 2) is a factor of ______.

विकल्प

• x³ – x² + x – 6

• x³ + x² + x + 6

• 2x³ – 6x² + 5x – 1

• x³ – 4x² + x – 8

Answer 1

(x – 2) is a factor of x³ – x² + x – 6.

Explanation:

Let f(x) = x³ – x² + x – 6

Here f(2) = 2³ – 2² + 2 – 6

= 8 – 4 + 2 – 6

= 0

∴ x – 2 is a factor of f(x).