Question

If $x^3$ + 5$x^2$ + 10 k leaves remainder –2x when divided by $x^2$ + 2, then the value of k is

• A. -2
• B. -1
• C. 1
• D. 2

Answer 1

The correct option is C

1

On actually dividing $x^3$ + 5$x^2$ + 10k by ($x^2$ + 2), the remainder obtained is – 2x + 10k – 10.

Therefore –2x + 10k – 10 = – 2x or k = 1.