Question

Find the reminder using reminder therom when x^3+3x^2+3x+1
$\div$
x+$\pi$
​

Answer 1

Let p(x)=x^3+3x^2+3x+1 & g(x) = x+ pi

If g(x) is an factor then It must leave remainder 0 when divided.

so, g(x)=0

x + pi =0

=>x= -pi

p(-pi)=-pi^3 + 3 x (-pi^2) + 3 x -pi + 1

=>p(-pi)= -pi + 3pi-3pi+1

=>p(-pi)= -pi + 1

So,x + pi is not an factor given polynomial p(x).

Pls buddy replace the sign of pi with my writting pi in the Equation.

I'm very happy I could help you and hope you mark it as BRAINLIEST if possible