What should be added to 2x² + 3x – 5 to get x² – x + 1?
(a) –x2 – 4x + 6
(b) x2 – 4x + 6
(c) x2 + 4 x – 6
(d) x2 – 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.