Dividing Polynomials · Exercise 6

Dividing polynomials using synthetic division.

Let $f\left(x\right)=x^3+2x^2-5x-6$

ⓐ Find $f\left(-3\right)$
ⓑ Divide $f\left(x\right)$ by $\left(x+3\right)$. What is the quotient? What is the remainder?
What is the connection between $f\left(c\right)$ and the remainder when $f\left(x\right)$ is divided by $\left(x-c\right)$? Summarize your findings.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §5.4 Dividing Polynomials · Exercise 6