Question

What is the factor theorem of polynomials.
Pls explain ​

Answer 1

Answer:

Something from the pile of my notes:

Have fun

The factor theorem describes the relationship between the root of a polynomial and a factor of the polynomial. If the polynomial \(p(x)\) is divided by \(cx - d\) and the remainder, given by \(p \left( \frac{d}{c} \right),\) is equal to zero, then \(cx - d\) is a factor of \(p(x)\).

Answer 2

Step-by-step explanation:

The point of the Factor Theorem is the reverse of the Remainder Theorem: If you synthetic-divide a polynomial by x = a and get a zero remainder, then, not only is x = a a zero of the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor of the polynomial (courtesy of the Factor Theorem).