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Q. 2. On dividing-3x +x+2 by polynomial g(x), the quotient and re-der were (x-2) and (-2x+4). Find g(x). |
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Answer» Divisor*Quotient+Remainder= Dividentg(x)(x-2)+(-2x+4)=x^3-3x^2+x+2g(x)(x-2)=x^3-3x^2+x+2+2x-4g(x)(x-2)=x^3-3x^2+3x-2g(x)=x^3-3x^2+3x-2/(x-2)g(x)=x^2-x+1 |
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