Please help with the following question
When f(x) is divided by x1 and x+2 the remainders are 4 and 2 respectively. Hence find the remainder when f(x) is divided by X^2+X2
OLevel Elementary Math
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0rchid123  KiasuNewbie
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Re: OLevel Elementary Math
by 0rchid123 » Mon Sep 24, 2018 8:21 am
Please help with the following question
When f(x) is divided by x1 and x+2 the remainders are 4 and 2 respectively. Hence find the remainder when f(x) is divided by X^2+X2
When f(x) is divided by x1 and x+2 the remainders are 4 and 2 respectively. Hence find the remainder when f(x) is divided by X^2+X2

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Maths Question
by sundarshoba » Sun Sep 30, 2018 5:50 pm
Please help to solve
Thanks
[img][img]https://i.postimg.cc/2SFdz5qJ/Mat1.jpg[/img][/img]
Thanks
[img][img]https://i.postimg.cc/2SFdz5qJ/Mat1.jpg[/img][/img]

sundarshoba  KiasuNewbie
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Re: OLevel Elementary Math
by sundarshoba » Sun Sep 30, 2018 9:01 pm
Please help to solve the attached Problem
Thanks
Thanks

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Re: OLevel Elementary Math
by alwaysLovely » Mon Oct 08, 2018 4:05 pm
0rchid123 wrote:Please help with the following question
When f(x) is divided by x1 and x+2 the remainders are 4 and 2 respectively. Hence find the remainder when f(x) is divided by X^2+X2
This is classified as a challenging question on Factor Remainder Theorem for OLevel Additional Maths.
[Basics]
Given:
By remainder theorem
f(1) = 4
f(2) = 2
Divisor
x^2 + x  2 = (x + 2)(x  1)
[Advance]
Do you know?
1) f(x) = Q(x) * Divisor + Remainder
2) The degree of the remainder is always less than that of the divisor. Example, a quadratic divisor (degree = 2) is given in this question, the remainder would have a degree of 1 or 0 so in general, we let remainder be Ax+B
f(x): Polynomial
Q(x): Quotient
f(x) = Q(x) *(x + 2)(x  1) + (Ax + B)
When x = 1, Thinking process: How do we know what value of x to sub?
f(1) = A + B Notice Q(x) 'disappears'
4 = A + B  (1)
When x = 2, Thinking process: How do we know what value of x to sub?
f(2) = 2A + B Notice Q(x) 'disappears'
2 = 2A + B  (2)
Values of f(1) and f(2) are obtained from the first few lines of the solution.
A = 2
B = 2
Hence remainder = 2x + 2 = 2(x + 1)

alwaysLovely  YellowBelt
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Re: OLevel Elementary Math
by SH » Mon Oct 15, 2018 3:09 pm
Hi can somebody help me with this qtn, thank you!
The volume of a block is 0.03 cubic metres, correct to the nearest 0.01 cubic metres. Find the greatest possible height of the block in metres.
The volume of a block is 0.03 cubic metres, correct to the nearest 0.01 cubic metres. Find the greatest possible height of the block in metres.

SH  BrownBelt
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Yakult14  YellowBelt
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Re: OLevel Elementary Math
by blur_elmo » Tue Nov 06, 2018 10:04 am
Anyone giving Sec 3 & 4 Maths textbook by Shinglee? or at least selling cheap? Thank you

blur_elmo  YellowBelt
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Re: OLevel Elementary Math
by VRossi » Sun Jan 20, 2019 2:45 pm
Please help with Example 4 iii) and iv)
Thanks

VRossi  YellowBelt
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OLevel Elementary Math
by sundarshoba » Sat Feb 09, 2019 10:25 pm
Please help to solve question (b)
Thanks
Thanks

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