Multiple Choice Questions

The quantity which must be added to 1 ndash x 1 x2 to obtain x3 is ........

Mathematics (NDA) Algebra

The quantity which must be added to (1 – x) (1 + x²) to obtain x³ is:

2x³ + 3x² + x + 1

2x³ + x² + x – 1

2x³ – x² + x – 1

–x² + x – 1

f(x) = (1 – x)(1 + x²)
= 1 + x² – x – x³
So, 2x³ – x² + x – 1 is added to 1 + x² – x – x³ to obtain x³.

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