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#1 2013-04-27 11:27:24

Agnishom
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If

is a factor of the polynomials
and
, prove that

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -Alokananda

#2 2013-04-27 11:44:10

Nehushtan
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Re: Quadratic Polynomial and its Factors

You mean
is a factor. Hint:

If you let
and
then
and
.

#3 2013-04-27 12:58:51

Agnishom
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Re: Quadratic Polynomial and its Factors

That is the problem (n-k) is the factor

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -Alokananda

#4 2013-04-27 18:29:13

bob bundy
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Re: Quadratic Polynomial and its Factors

hi Agnishom,

I suggest you check the question.  If it started " x + k is a factor....." then that result can be found using Nehushtan's method.

If we maintain (n-k) then since both quadratics must have factors of the form (x - a) and (x - b) that suggests x = n or x = k.  The problem then de-generates and certainly doesn't give that result.

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

#5 2013-04-27 18:57:17

Agnishom
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Re: Quadratic Polynomial and its Factors

Maybe that is a printing mistake?

My teacher told to assume (n-k) as a zero of the polynomial

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -Alokananda