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O-Level Elementary Math

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Re: O-Level Elementary Math

Postby 0rchid123 » Mon Sep 24, 2018 8:21 am

Please help with the following question
When f(x) is divided by x-1 and x+2 the remainders are 4 and -2 respectively. Hence find the remainder when f(x) is divided by X^2+X-2

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Re: O-Level Elementary Math

Postby 0rchid123 » Mon Sep 24, 2018 8:21 am

Please help with the following question
When f(x) is divided by x-1 and x+2 the remainders are 4 and -2 respectively. Hence find the remainder when f(x) is divided by X^2+X-2

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Maths Question

Postby sundarshoba » Sun Sep 30, 2018 5:50 pm

Please help to solve

Thanks

[img][img]https://i.postimg.cc/2SFdz5qJ/Mat1.jpg[/img][/img]

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Re: O-Level Elementary Math

Postby sundarshoba » Sun Sep 30, 2018 9:01 pm

Please help to solve the attached Problem

Thanks

Image

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Re: O-Level Elementary Math

Postby alwaysLovely » Mon Oct 08, 2018 4:05 pm

0rchid123 wrote:Please help with the following question
When f(x) is divided by x-1 and x+2 the remainders are 4 and -2 respectively. Hence find the remainder when f(x) is divided by X^2+X-2


This is classified as a challenging question on Factor Remainder Theorem for O-Level 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)

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Re: O-Level Elementary Math

Postby S-H » 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.

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Re: O-Level Elementary Math

Postby Yakult14 » Mon Nov 05, 2018 5:51 pm

0.01metres

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Re: O-Level Elementary Math

Postby 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

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Re: O-Level Elementary Math

Postby VRossi » Sun Jan 20, 2019 2:45 pm

Image

Please help with Example 4 iii) and iv)
Thanks

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O-Level Elementary Math

Postby sundarshoba » Sat Feb 09, 2019 10:25 pm

Please help to solve question (b)

Thanks

Image

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