Question

Can we say that the factor theorem is the converse of the remainder theorem? Why or why not? PLEASE ANSWER THIS TRICKY QUESTION ONLY IF YOU HAVE THE REQUIRED QUALIFICATION... DO NOT WASTE CHANCES.

Answer 1

Answer:

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).