C2 Algebra and Functions

Question 1

If f(x) is a polynomial and f(a) = 0…

Answer 1

Then (x - a) is a factor of f(x)

Question 2

If f(x) is a polynomial and f(b/a) = 0…

Answer 2

Then (ax - b) is a factor of f(x)

Question 3

If a polynomial f(x) is divided by (ax - b)…

Answer 3

Then the remainder is f(b/a)

Question 4

If (x - a) is a factor of the polynomial f(x)…

Answer 4

Then f(a) = 0

Question 5

If (ax - b) is a factor of the polynomial f(x)…

Answer 5

Then f(b/a) = 0