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# Core 2 watch

1. The cubic polynomial f(x) is defined by f(x) = x^3 + ax^2 – ax – 14, where a is a constant. (i) Given that (x – 2) is a factor of f(x), find the value of a.
2. (Original post by Chelsea12345)
The cubic polynomial f(x) is defined by f(x) = x^3 + ax^2 – ax – 14, where a is a constant. (i) Given that (x – 2) is a factor of f(x), find the value of a.
Can you show your working? You should be making use of your knowledge of the factor theorem if you don't know where to start.
3. (Original post by Chelsea12345)
The cubic polynomial f(x) is defined by f(x) = x^3 + ax^2 – ax – 14, where a is a constant. (i) Given that (x – 2) is a factor of f(x), find the value of a.
The factor theorem states, if is a factor of , this implies
4. A factor means y is zero when x is a
5. (Original post by Naruke)
The factor theorem states, if is a factor of , this implies
so should i try random number in place of x like 1,3?
6. (Original post by Chelsea12345)
so should i try random number in place of x like 1,3?

I didn't notice that the letter 'a' was also used in your question.
7. (Original post by Chelsea12345)
so should i try random number in place of x like 1,3?
No. because is a factor.
8. i got a=3 . is that right?
9. (Original post by Chelsea12345)
i got a=3 . is that right?
Yes.

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