Answer to Question #146726 in Algebra for .

Question #146726

use long division to determine the quotient and remainder when f(x) = 4x³+6x²-2x+5 is divided by (2x-1)

Expert's answer

"\\begin{matrix}\n & 2x^2 +4x+1 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\\\\n \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ 2x-1 &)\\overline{4x^3+6x^2-2x+5} \\\\\n& - \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\\\\n& \\underline{4x^3-2x^2} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\\\\n& \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ 8x^2-2x+5 \\\\\n& \\ \\ - \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\\\\n& \\ \\ \\ \\ \\ \\ \\ \\ \\underline{8x^2-4x} \\\\\n& \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ 2x+5 \\\\\n& \\ \\ - \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\\\\n& \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\underline{2x-1} \\\\\n& \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ 6 \\\\\n\\end{matrix}"

Answer to Question #146726 in Algebra for .

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