96th Problem 2016

Algebra Level 2

For what c c is x + 2 x+2 a factor of f ( x ) f(x) ?

f ( x ) = 2 x 4 − x 3 + c x 2 + x − 2 f(x)=2x^4-x^3+cx^2+x-2


The answer is -9.

Angela Fajardo by Angela Fajardo , 19, Philippines

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

. .
May 21, 2021

See this. See this.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Roger Erisman
Mar 27, 2016

For x+2 to be a factor then f(x) / (x+2) has remainder of 0.

Using synthetic division ( -2 is divisor) remainder = 4c +36 = 0

Therefore, c= -9

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...