Question

Find remainder when f(x)=x^4-3x^2+4 is divided by g(x)=x-2 and verify by actual division​

Answer 1

Step-by-step explanation:

$= (x - 2)( {x}^{3} + {2x}^{2} + x + 2 \\ = {x}^{4} + 2x^{3} + {x}^{2} + 2x - {2x}^{3} - 4x^{2} - 2x - 4 + 8 \\ = {x}^{4} - {3x}^{2} + 4$

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