Question

Find the remainder when p(x) = 3x4 - 4x3 - 3x – 1 is divided by
g(x) = x - 1 ?​

Answer 1

Answer:

-3x-1 is the remainder.

Answer 2

$\huge\color{orange}\boxed{\colorbox{black}{\tt{☣ANSWER☣}}}$

Zero of the polynomial x - 1 is 1

So,

$p(x) = 3 {x}^{4} - 4 {x}^{3} - 3x - 1$

$p(1) = 3 {(1)}^{4} - 4 {(1)}^{3} - 3(1) - 1 \\ = 3 - 4 - 3 - 1 \\ = - 5$

Remainder is -5