Based on the polynomial remainder theorem, what is the value of the function when x=−6 ? f(x)=x4+8x3+10x2−7x+40

ANSWER



EXPLANATION

The given function is


According to the remainder theorem,


where R is the remainder when


is divided by


We therefore substitute the value of x and evaluate to obtain,







This will evaluate to,



Hence the value of the function when


is


According to the remainder theorem,

is the remainder when


is divided by