Question

1. Divide 8x4 – 6x3 + 7x2 – 11x + 10 by 2x – 1 using long division. Show all your work. Then explain if 2x – 1 is a factor of the dividend.

Answer 1

\[\large\rm \frac{ 8x^4 – 6x^3 + 7x^2 – 11x + 10 }{ 2x-1 }\]


for long division
5 steps)
\(\huge\color{green}{{1:}}\) Divide the first terms
\(\huge\color{green}{{2:}}\) multiply(distribute)
\(\huge\color{green}{{3:}}\) subtract all terms
\(\huge\color{green}{{4:}}\) carry down
\(\huge\color{green}{{5:}}\) repeat