Question

12b^3 -11b^2 +8b - 5 all divided by 3b-2 please help

Answer 1

Here is your answer user.

Answer 2

AnsWer :

• R = b + 1.
• Q = 4b² - b + 3.

SolutioN :

Let,

• Dividend be ( D )
• Divisior be ( d )
• Quotient ( Q )
• Remainder ( R )

So, We know,

★ Example : D , d , Q and R.

$\boxed{\begin{array}\quad\begin{tabular}{m{3.5em}cccc}&& Q&&& \\\cline{3-6}\multicolumn{2}{l}{d \Big)}&D&&&&\\&& D&&&\\ &&-&&& \\ \cline{3-6}&&R&&&\\ \cline{3-6}&&&&& \end{tabular}\end{array}}$

Now,

$\rule{150}2$

We have,

• D = 12b³ - 11b² + 8b - 5.
• d = 3b - 2.

$\boxed{\begin{array}\quad\begin{tabular}{m{3.5em}cccc}&& 4b^2- b +3 \\\cline{3-6}\multicolumn{2}{l}{3b-2\Big)}&12b^3&-11b^2&+8b&-5\\&& 12b^3&-8b^2&&\\\cline{3-6}&&&-3b^2&+8b&+5\\&&&-3b^2&-2b &\\\cline{4-6}&&&& 10b&-5\\&&&&9b&+6\\\cline{5-6}&&&&b&+1\\\end{tabular}\end{array}}$

So,

• R = b + 1.
• Q = 4b² - b + 3.

Therefore, the required answer is 4b² - b + 3.