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ICSE Class 8 Answered

what must be added to x⁴- x³+x²+x+3 to obtain x⁴+x²-1
Asked by kannigaparameshwari499 | 20 Feb, 2024, 06:50: PM
answered-by-expert Expert Answer

Let we add A to x⁴ - x³ + x² + x + 3 to obtain x⁴ + x² - 1

A +  x⁴ - x³ + x² + x + 3 = x⁴ + x² - 1

To find A, we will subtract  x⁴ - x³ + x² + x + 3 from x⁴ + x² - 1

A = (x⁴ + x² - 1) - (x⁴ - x³ + x² + x + 3)

A = x⁴ + x² - 1 - x⁴ + x³ - x² - x - 3

A =  -1 + x³ - x -3

A = x³ - x - 4

Hence x³ - x - 4 must be added.

Answered by Rashmi Khot | 20 Feb, 2024, 07:03: PM

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