Question

For f(x) = x^3-7X^2+8x+16 find f(10) using synthetic division

Answer 1

`\bf x^3-7x^2+8x+16\qquad f(10)\\\\ -------------------------------\\\\ f(10)=r\implies \begin{cases} x=10\\ remainder=r \end{cases}\\\\ -------------------------------\\\\ \textit{so, let's do the division} \\\\\\ \begin{array}r 10&&1&-7&8&16\\ &&&10&30&380\\ -&&-&--&--&--\\ &&1&3&38&\boxed{396}&\leftarrow remainder \end{array}`