Question

find the remainder when p (n) =2x^4 + x^3 + 7x^2 -24 is decided by (x-1).
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Answer 1

Answer:

remainder= -14

Step-by-step explanation:

$according \: to \: remainder \: theorem \\ if \: a \: polynomial \: p(x) \: is \: divided \: by \: x - a \: the \: remainder \: obtained \: is \: p(a) \\ using \: remainder \: theorem \\ p(1) = 2 {(1)}^{4} + {(1(}^{3} + 7 {(1)}^{2} - 24 \\ = 2 + 1 + 7 - 24 \\ = 10 - 24 \\ = - 14$

hope it helps:))