Question

Find the quotient and remainder on dividing p(x) by g(x) where p(x)=4x^3+8x^2+8x+7 and g(x)=2x^2-x+1
Pls help

Answer 1

$\textbf{Given:}$

$p(x)=4x^3+8x^2+8x+7$

$g(x)=2x^2-x+1$

$\text{We apply long division method}$

$\begin{array}{r|l}&2x+5\\\cline{2-2}2x^2-x+1&4x^3+8x^2+8x+7\\&4x^3-2x^2+2x\\\cline{2-2}&\;\;\;\;\;\;\;\;\;10x^2+6x+7\\&\;\;\;\;\;\;\;\;\;10x^2-5x+5\\\cline{2-2}&\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;11x+2\end{array}$

$\text{From the long division method, we get}$

$\textbf{Quotient=}2x+5$

$\textbf{Remainder=}11x+2$

$\textbf{Find more:}$

1.4x3 – 2x2 – 3 is divided by 2x2 – 1​

https://brainly.in/question/15040570

2.By using long division method show that x minus 3 is a factor of 6 + X - 4 x square + x cube​

https://brainly.in/question/14713178

Answer 2

1. QUOTIENT =2x +5
2. REMAINDER =11x +2

Please mark is as brainliest answer