Please Help Me.

[Yunie]

Dear all, I have quite a few questions regarding A-maths that I want to ask. I am really confused on how to do these questions and I have tried hard to do them but the answers I got are wrong. Please Help Me. I sincerely want to do well and understand A-maths. Thanks.


1) Given that , for all values of x, find the value of each of A, B and C.
[Ans: A = 2, B = −3, C = 3]


2) For all values of x, . Find the value of A, B and C.
[Ans: A = 3, B = 2, C = 1]


3) Given that leaves a remainder of −4 when divided by x − a, find the possible values of a.
[Ans: A = −2, , or ]


4) Find the range of values of x for which x(2x + 5) > 12.
[Ans: x < −4 or x > ]


5) (a) Find the range of value of x for which x^2+7x-9 > 8x-3

(b) Find the range of value of c for which x^2+7x-9 > 8x+c , for all values of x.

[Ans: (a) −2 < x < 3 (b) c < -(37/4) ]


6) Find the value of x for which 2x^2 > 3x+14

[Ans: x < −2 or x > 3 (1/4) ]



I would really be glad if anyone of you help me with the above questions. Please Help. Thanks a lot.