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Krishna Bhakthochidan

Aug 20, 2013

#### Sir, Can you please solve the following:- If the polynomial X4- 6X3+16X2-25X+10 is divided by another polynomial X2-2X+k, the reminder is X+a . Find k and a



Given that the remainder is (x + a)
â‡’ (4k â€“ 25 + 16 â€“ 2k)x + [10 â€“ k(8 â€“ k) ] = x + a
â‡’ (2k â€“ 9)x + [10 â€“ 8k + k<...

Shreyas Rastogi

May 7, 2015

#### If the squared difference of the zeroes of the quadratic polynomial f(x) = x2+px+45 is equal to 144 ,find the value of p.



Rajputra rishiraj si

Aug 28, 2013



Sahiti

Oct 15, 2013



Apr 1, 2014



Farheen

May 29, 2014

#### 



Sol :
given that x-âˆš5 is a factor of the cubic polynomial x3-3âˆš5x2+13x-3âˆš5

x-W...

Sep 30, 2013



Farheen

May 19, 2014



R murali

Jun 6, 2014

#### If Î±  and  Î² are zeroes of the polynomial f(x)=x2+px+q then find the quadratic polynomial  having 1/Î± and 1/Î² as its zeroes



Sol:
Given  Î± and Î² are zeroes of the polynomial f(x)=x2+px+q

Î±+ Î² = -p Î±Î² = q

(1/Î± +...

R murali

Jun 7, 2014

#### If Î±  and  Î² are zeroes of the polynomial x2-4x+3 , then form quadratic polynomial whose zeroes are (1) 3Î±and 3Î²           (2)1/2Î±   and  1/2Î²



Sol:
Given  Î± and Î² are zeroes of the polynomial f(x) = x2- 4x + 3

Î±+ Î² = 4 Î±Î² = 3

1) (3Î± + 3Î²) = 3x 4 = 12

Krishna Bhakthochidan

Aug 20, 2013

#### Sir, Can you please solve the following:- If the polynomial X4- 6X3+16X2-25X+10 is divided by another polynomial X2-2X+k, the reminder is X+a . Find k and a



Given that the remainder is (x + a)
â‡’ (4k â€“ 25 + 16 â€“ 2k)x + [10 â€“ k(8 â€“ k) ] = x + a
â‡’ (2k â€“ 9)x + [10 â€“ 8k + k<...

Shreyas Rastogi

May 7, 2015

#### If the squared difference of the zeroes of the quadratic polynomial f(x) = x2+px+45 is equal to 144 ,find the value of p.



Rajputra rishiraj si

Aug 28, 2013



Sahiti

Oct 15, 2013



Apr 1, 2014



Farheen

May 29, 2014

#### 



Sol :
given that x-âˆš5 is a factor of the cubic polynomial x3-3âˆš5x2+13x-3âˆš5

x-W...

Sep 30, 2013



Farheen

May 19, 2014



R murali

Jun 6, 2014

#### If Î±  and  Î² are zeroes of the polynomial f(x)=x2+px+q then find the quadratic polynomial  having 1/Î± and 1/Î² as its zeroes



Sol:
Given  Î± and Î² are zeroes of the polynomial f(x)=x2+px+q

Î±+ Î² = -p Î±Î² = q

(1/Î± +...

R murali

Jun 7, 2014

#### If Î±  and  Î² are zeroes of the polynomial x2-4x+3 , then form quadratic polynomial whose zeroes are (1) 3Î±and 3Î²           (2)1/2Î±   and  1/2Î²



Sol:
Given  Î± and Î² are zeroes of the polynomial f(x) = x2- 4x + 3

Î±+ Î² = 4 Î±Î² = 3

1) (3Î± + 3Î²) = 3x 4 = 12

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