# What should be added to 2x² + 3x – 5 to get x² – x + 1?

(a) –x^{2} – 4x + 6

(b) x^{2} – 4x + 6

(c) x^{2} + 4 x – 6

(d) x^{2} – 4x – 6

**Answer: (a) -x² – 4x + 6 **

**Solution:- **

Let added be P.

Then, 2x² + 3x – 5 + P = x² – x + 1

P = x² – x +1 – 2x² – 3x + 5

P = – x² – 4x + 6.

Then, – x² – 4x + 6 should be added to 2x² + 3x – 5 to get x² – x + 1.

Hence, the correct answer is option (a) – x² – 4x + 6.