Question

S-x4 f(x) = {43-9 if x2 if X > 4 a. f(5) b. f(2) c. f(-4) ​

Answer 1

Answer:

-160

Step-by-step explanation:

Given:f(x)=x4+9x3+35x2−x+4

if x=−5+4i

⇒(x+5)=4i⇒(x+5)2=(4i)2⇒x2+25+10x=−16⇒x2+10x+41=0−(i)

All we have to do is divide the expression x4+9x3+35x2−x+4 by x2+10x+41 via the long division method.

∴x4+9x3+35x2−x+4=(x2+10x+41)(x2−x+4)−160∴f(x)=x4+9x3+35x2−x+4=−160