If \((x \pm h)\) is a factor of a polynomial, then the remainder will be zero. Conversely, if the remainder is zero, then \((x \pm h)\) is a factor. Often ...

This is a preview. Log in through your library . Abstract For 𝑓 ∈ ℚ[𝑥], we say that a rational prime 𝑝 is a prime divisor of 𝑓 if 𝑝 divides the numerator of 𝑓(𝑛) for some integer 𝑛. Let 𝒫(𝑓) ...

Here's how the process of synthetic division works, step-by-step. Divide \(3{x^3} - 4x + 5\) by \((x + 2)\) and state the quotient and remainder. First, make sure the polynomial is listed in order of ...