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Mizoram Class 9 Answered

Find the GCD of the polynomials x³+2x²-3x and 2x³+5x²-3x
Asked by elilchkpachuau | 23 Jul, 2020, 09:57: AM
answered-by-expert Expert Answer
x3 + 2x2 - 3x = x(x2 + 2x - 3) = x(x2 + 3x - x - 3) = x[x(x+3) - (x+3)] = x(x+3)(x-1)
2x3 + 5x2 - 3x = x(2x2 + 5x - 3) = x(2x2 + 6x - x - 3) = x[2x(x+3) - (x+3)] = x(x+3)(2x-1)
GCD = x(x+3) = x2+3x
Hence, the GCD is x2+3x.
Answered by Renu Varma | 23 Jul, 2020, 10:52: AM

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