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can u evaluate f(0) and f(3) ?

What does evaluate mean?

calculate-compute-

Hmmm hang on. Do you mean put them into the f(X)= thing?

Yes ok Ill have a go at that and tell you what I got thanks.

Right for f(0) I got 30 and the next one 0

f(3) = 0
Are you sure?

Ill do it again

Did it again and got 0 again.

f(3) = (3)^3 - 19(3) + 30
= 27 - 57 + 30
= 30 + 27 - 57
= 57 - 57
= 0
OK

Yes!! So now I have two more questions. Are you up for helping?

Wait what is the 'hence write down the factor of f(x)' bit?

If you calculated f(3) = 0, then (x-3) is a factor

:) I remeber that now. The 0 ones it is.

(ii) Find p and q such that f(x) = (x-2)(x^2 + px +q). How does one go about this?

Wait....Where has that big line came from? ohhh you timesed out the brackets! Ok wait a min.

I get it up to when you start saying the so we know p-2=0 bit. I dont know how we know that.