Quiz 1 Remaindor Theorem

1.   F(x) = x³  + ax² + bx + 6

The remainder when F(x) is divided by x + 1 and x – 2 are 20 and 8 respectively, find the values of a and b. Hence solve the equation F(x) = 0

Question 1              

When you see find the values of a and b, what does that tell you that you must get in order to solve?

Question 2

What does the remainder when F(x) is divided by x + 1 is 20 mean?

Question 3   What does the remainder when F(x) is divided by x – 2 is 8 mean?

Question 4               Get 1^st equation

Question 5               Get 2^nd equation

Question 6               When solve is given, what 2 ways do you expect

Question 7               How to solve this equation

Show that 2x³ + x² – 13x + 6 is divisible by x – 2 and hence find the other factors of the expression

Question 1

What does divisible by x – 2 means

Question 2

How would you use Qu 1 information and obtain the result

Question 3

How would you find the other factors?

Question 4

Find all the factors