Question

divide a) -11x +35x^2 -6 by 7x+2 b) 3x^4-4x^3-0x^3-3x-1 by x-1​

Answer 1

To Divide:-

a)

$\\ \tt\longrightarrow35 {x}^{2} - 11x - 6 \: \: by \: \: 7x + 2.$

b)

$\\ \tt\longrightarrow3 {x}^{4} - 4 {x}^{3} - 0 {x}^{2} - 3x - 1 \: \: by \: \: x - 1.$

So Lets divide by long division Method:-

a)

$\boxed{\begin{array}\quad\begin{tabular}{m{3.5em}cccc}&& 5x& - 3x\\\cline{3-6}\multicolumn{2}{l}{7x + 2\big)}&35x^2& - 11x & - 6\\&& 35x^2& + 10x\\&&-&- &&\\ \cline{3-6}&&&-21x & - 6\\&&&-21x& - 6x &\\ &&&+&+&\\ \cline{4-6}&&&& 0\\ \cline{4-6} \\\end{tabular}\end{array}}$

b)

$\boxed{\begin{array}\quad\begin{tabular}{m{3.5em}ccccccc}&& 3x^3& - x^2& -x& - 4\\\cline{3-7}\multicolumn{2}{l}{x + 2\big)}&3x^4& - 4x^3& - 0x^2& - 3x & - 1&\\&& 3x^4 & - 3x^3&&\\&&-& + &&\\ \cline{3-7}&&& - x^3&-0x^2& - 3x& - 1\\&&&-x^3& + x^2 &\\ &&&+& - &\\ \cline{4-7}&&&& - x^2& - 3x& - 1\\&&&& - x^2& + x &\\ &&&&-& -\\ \cline{5-7}&&&&&-4x & - 1 \\ &&&&&- 4x &+ 1 \\ &&&&&+& - \\\cline{5-7} &&&&&& - 2. \\ \cline{5-7}\\\end{tabular}\end{array}}</p><p>$

Answer 2

Answer:

the answer is

a)3x²-1

b)2x²+3