Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 49,176

Matriculation Level Questions - III

1. Find the remainder when

is divided by 2x+1.

2. Find the remainder when x³ - 6x² +2x - 4is divided by 1-3x.

3. If the remainder when a-2x+5x² is divided by x-2 is 7, find the value of a.

4. Show that x-3 is a factor of x³ -3x² + 4x -12.

5. For what value of m is 2x³-x²-3mx-24 exactly divisible by x-2?

6. Simplify:

.

7. Decompose into partial fractions :-

8. Find the square root of

9. (i) Form a quadratic equation with 3 and -4 as the roots.

(ii) Find the sum and product of the roots of 4x²+4x+1=0

10. The sum of two numbers is 71 and their product is 1240. Find the numbers.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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G_Einstein

Member

Registered: 2008-08-30

Posts: 124

Re: Matriculation Level Questions - III

The results for 1,2 and 8are:

1.

2.

8.

Last edited by G_Einstein (2008-11-20 01:06:56)

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