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CBSE Class 10 Answered

What should be added to the polynomial x^3 - 2x^2 -3x -4 so, that it is completely divisible by x^2 - x
Asked by mv716304 | 01 Apr, 2022, 05:16: PM
answered-by-expert Expert Answer
Dividing x3 - 2x2 - 3x - 4 by x2 - x, we get the quotient = x - 1 and remainder = -4x - 4
Therefore, x3 - 2x2 - 3x - 4 = (x2 - x)(x - 1) + (-4x - 4)
Thus, (4x + 4) must be added to the polynomial x3 - 2x2 - 3x - 4 so as it is completely divisible by x2 - x. 
Answered by Renu Varma | 06 Apr, 2022, 03:24: PM
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