Question

show that x+2 is a factor of (xpower5+32)​

Answer 1

x+2=0

x= -2

p(x)=x⁵+32

By the factor theorem,we know that (x+2) will be a factor of p(x),if p(-2)=0

p(-2)=(-2)⁵+32

=> -32+32

=>0

Thus,x+2 is a factor of x⁵+32.