Factor theorem + Algebraic division

Question 1

If f(x+b) is a factor of f(x) then f(-b) must =

Answer 1

0

Question 2

What is the factor theorem?

Answer 2

(ax+b) is a factor of f(x) if and only if f(-b/a) =0

Question 3

If f(x-3) is a factor then

Answer 3

f(+3)=0 not f(-3)

Question 4

What are the 2 methods for algebraic division

Answer 4

long division and grid method

Question 5

What is the finishing statement that you should ALWAYS put at the end of a factor theorum Q

Answer 5

therefore f(ax+b) is a factor of f(x)