1. Holiday Assignment @ Raya Cookies
1. Given 𝑓( 𝑥) = 6𝑥4
− 7𝑥3
+ 𝑎𝑥2
+ 𝑏𝑥 − 12 has a factor (𝑥 − 1).
When f(x) is divided by (𝑥 + 1) the remainder is −50. Find the value of a and b.
2. Given 𝑝( 𝑥) = 𝑥4
+ 2𝑥3
+ 𝑎𝑥2
+ 𝑏𝑥 − 60 has a factor (𝑥 + 2).
When f(x) is divided by (𝑥 + 3) the remainder is 60. Find the value of a and b.
3. Find the set of values of x such that 𝑥( 𝑥 − 2) > 𝑥 − 4
4. Find the set of values of x such that
5. Find the set of values of x such that 𝑥2
> 3𝑥
6. Find the set of values of x such that
7. Find the set of values of x such that
8. Find the set of values of x such that
9. Find the set of values of x such that
10. Find the set of values of x such that
11. Express as partial fractions
12. Express as partial fractions
13. Express as partial fractions
14. Express as partial fractions
𝑥( 𝑥 − 2) >
𝑥 + 4
𝑥
𝑥 + 1
𝑥
>
1
3
|
𝑥
𝑥 + 5
| < 2
𝑥 − 1
𝑥 + 2
< 3
1
1 + 𝑥
>
1
𝑥 − 1
4𝑥 − 5
𝑥
< 𝑥 − 2
𝑥2
− 2𝑥 − 11
( 𝑥 + 2)(𝑥 − 3)
𝑥2
+ 𝑥 + 4
𝑥( 𝑥 + 2)2
2𝑥 + 1
(𝑥 − 1)( 𝑥 − 2)2
3
𝑥( 𝑥 + 1)(𝑥 − 1)