Help me to answer 1b, solve the problem in detail, thank you

Question

asked Jul 13, 2023 114k views

1 Answer

JNN · Answer 1 · 2023-07-20T19:28:45+0000

Hello

we are given a function and asked to find the reminder when it is divided by a binomial

According to the remainder theorem, f(a) would be the remainder from dividing f(x) by x -a

$\begin{gathered} x-a=x-2 \\ a=2 \end{gathered}$

but our f(x) is given as

$\begin{gathered} f(x)=2x^3+7x^2-8x+3 \\ a=2 \\ \end{gathered}$
f(a)=f(2)=2(2)^3+7(2)^2-8(2)+3=31

From the calculation above, the answer to this question is 31