Question

1. Check by long division method whether x^2 - 2 is a factor of 2x^4 - 3x^3 – 3x^2 + 6x – 2 or not.

Answer 1

Step-by-step explanation:

if it is a factor for given polynomial after divide we get reminder 0

x²-2) 2x⁴-3x³-3x²+6x-2( 2x²-3x+1

2x⁴ -4x²

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-3x³+ x²+6x-2

-3x³ +6x

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x² -2

x² -2

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we get reminder 0 so x²-2 is a factor of given polynomial.

and 2x²-3x+1 is also a factor of the polynomial.

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