Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the remainder when $(x^{5} + 2 x^{4} - 3 x + 3) \div (x - 1)$ $(x^5 + 2x^4 - 3x + 3) div( x - 1)$ ?

1 Answer

Nov 19, 2015

$(x^{5} + 2 x^{4} - 3 x + 3) \div (x - 1)$ $(x^5+2x^4-3x+3)div(x-1)$
has a remainder of $3$ $3$

Explanation:

The Remainder Theorem says
$XXX \frac{f (x)}{x - a}$ $color(white)("XXX")f(x)/(x-a)$ has a remainder of $f (a)$ $f(a)$

If $f (x) = x^{5} + 2 x^{4} - 3 x + 3$ $f(x) = x^5+2x^4-3x+3$
then
$XXX f (1) = 1 + 2 - 3 + 3 = 3$ $color(white)("XXX")f(1)=1+2-3+3=3$

Related questions

See all questions in Remainder and Factor Theorems

Impact of this question

2065 views around the world

You can reuse this answer
Creative Commons License