Mathematics: Post your doubts here!

[unique840]

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q1. the polynomial x^4-6x^2+x+6 is denoted by f(x). it is given that (x+1) is a factor of f(x)
verify that (x-2) is also a factor of f(x) and hence factorize f(x) completely.

q2. the cubic polynomial 2x^3-x^2-13x-6 is denoted by f(x). it is given that (x-3) is a factor of f(x).
solve the equation f(x)=0

 

[abcde]

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Q1) f(2) = 2^4 - 6(2)^2 + 2 + 6 = 0
=> (x - 2) is also a factor of f(x).

 

[destined007]

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in case you don't know synthetic division:
[youtube]bZoMz1Cy1T4[/youtube]

 

[unique840]

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thanx both of u. it helped alot. but isnt there any other method to solve this except synthetic division?

 

[abcde]

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There is one in which you equate the coefficients to derive the quadratic factor. I think synthetic division is easier and less confusing.

 

[hassam]

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2nd ques via long div

 

[hassam]

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[hassam]

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buddy this the method we ususally follow....synthetic division is easier bt many havent study it.....long divison is there in the book

 

[hassam]

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[hassam]

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how do u solve it ....other than trying out binomial expansiion

 

[destined007]

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how do u solve it ....other than trying out binomial expansiion

Expansion.

 

[usman]

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Salam


Yoy could employ "Integration by parts" here, setting "4x^3" as say "u" while "(x - 7)^3" as "dv/dx" and then proceed in the usual way, except that you'd have to use I.B.P. over and over again until the result arrives....!

Hope that helps

 

[Silent Hunter]

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i have just started AS levels..........so my questions ma y seem stupid: question regarding probability: what do we mean by P(A or B or both) ????? if A is e.g. 0.2 n B 0.8 then wts the answer?

 

[destined007]

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i have just started AS levels..........so my questions ma y seem stupid: question regarding probability: what do we mean by P(A or B or both) ????? if A is e.g. 0.2 n B 0.8 then wts the answer?

Read this:
http://www.public.iastate.edu/~vardeman ... keyF05.pdf

 

[Silent Hunter]

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^^^^ link doesnt work? says: No such resource, or resource expired

 

[destined007]

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Now check.

 

[Silent Hunter]

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thanks alot

but can you tell me how to do it by this method:

and or one >> multiply or plus ones??

like it will be 0.2 + 0.8....>> thn? after that?

 

[destined007]

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What's the intersection?

 

[ching293]

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Sorry to bother anyone

I cant solve 7i and

8ii and iii

can anyone help please

-9709/31
Paper 3 Pure Mathematics 3 (P3) May/June 2011--

 

[hassam]

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