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We have, Polynomial 25p2−15p+2 On comparing that, Ap2+Bp+C Then, A=25,B=−15,C=2 Given that, Sum of roots =α+β=A−B α+β=2515 α+β=53 Product of roots α.β=AC α.β=252 Now, 2α1and2β1 Then, Sum of roots 2α1+2β1=4αβ2α+2β =24αβ(α+β) =2αβ(α+β)=252×253=53×425=415 2α1+2β1=415 Product of roots =2α1×2β1=4αβ1=254×21 =825 So, the equation of polynomial is p2−(Sumofroots)p+productofroots ⇒p2−415p+825 ⇒88p2−30p+25 Hence, this is the answer. Was this answer helpful? 131 2 SIMILAR QUESTIONS If α and β are the zeroes of the quadratic polynomial f(x)=2x2−5x+7, then find a quadratic polynomial whose zeroes are 2α+3β and 2α+3β. Hard View solution > If α and β are the zeros of the polynomial x2+4x+3, find the polynomial where zeros are 1+αβ and 1+βα. We have, Polynomial 25p2−15p+2 On comparing that, Ap2+Bp+C Then, A=25,B=−15,C=2 Given that, Sum of roots =α+β=A−B α+β=2515 α+β=53 Product of roots α.β=AC α.β=252 Now, 2α1and2β1 Then, Sum of roots 2α1+2β1=4αβ2α+2β =24αβ(α+β) =2αβ(α+β)=252×253=53×425=415 2α1+2β1=415 Product of roots =2α1×2β1=4αβ1=254×21 =825 So, the equation of polynomial is p2−(Sumofroots)p+productofroots ⇒p2−415p+825 ⇒88p2−30p+25 Hence, this is the answer. Was this answer helpful?

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Keshav Kumar 3 years, 7 months ago

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You went to shimla during winter break. Write diary entry

Posted by Vanshika Verma 3 years, 7 months ago

CBSE > Class 09 > English Lang & Lit. (184)

0 answers

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In triangle opq, right-angled at p, op=7cm and oq-pq=1cm determine the value of sin q and cos q

Posted by Amrit Raj 3 years, 7 months ago

CBSE > Class 10 > Mathematics

0 answers

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Lencho suffered due to draught and then by floods our country is also facing such situation in recent years there is flood and there is draught there is flood and there is draught there is need to save water through harvesting write a paragraph on how to save water during summer and when it is available in excess

Posted by Live Ninja Gamer 3 years, 7 months ago

CBSE > Class 10 > English Language and Literature

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Why equity, sustainability, productivity and empowerment considered as the pillars of human development?

Posted by Rimjhim Deep Singh 3 years, 1 month ago

CBSE > Class 12 > Geography

1 answers

Preeti Dabral 3 years, 1 month ago

Productivity here means human labour is productivity or productivity in terms of human work. Such productivity must be constantly enriched by building capabilities in people. This is because it is people who are the real wealth of nations. Therefore, efforts to increase their knowledge, provide better health facilities, balanced diet and high literacy rates ultimately lead to better work efficiency.
Empowerment means to have the power to make choices. Such power comes from increasing freedom and capability. Good governance and people oriented policies are required to empower people.

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describe the political and that list hopes to achieve through economic measures

Posted by Kâmäĺ Măģàŕ 3 years ago

CBSE > Class 10 > Social Science

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Preeti Dabral 3 years ago

A customs union known as Wolverine was formed at the initiative of Prussia and joined by most of the German states. This union removed internal impediments and summed up 32 currencies into two. Besides this, it the aim of the union is to bind the Germans economically into a nation by strengthening the nation materially through its protection of interests externally and stimulating its internal productivity. It must be awakened and national sentiments should be raised through a fusion of individual and state interests.

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Term 2 chapter name

Posted by Ashish Sharma 3 years, 7 months ago

CBSE > Class 12 > शारीरिक शिक्षा

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Make the Flow chart on Lesson " Letter to God " .

Posted by Saras Birthare 3 years, 7 months ago

CBSE > Class 10 > English Language and Literature

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Hhh Jjnn 3 years, 7 months ago

Letter to god ' ' ' Money ' ' ' Tension khtam ' ' ' Happy ending

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What is hoe

Posted by Rakesh Meher 3 years, 7 months ago

CBSE > Class 08 > विज्ञान

2 answers

Kanishka 59 3 years, 5 months ago

Vigyan ki book ke Koyla aur petroleum wala chapter 5 ki photo bhej do

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Priyani Das 3 years, 7 months ago

It is a tool used for removing weeds and loosening the soil.

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Who were theris

Posted by Marjiya Parveen 3 years, 7 months ago

CBSE > Class 12 > History

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what is a motherboard

Posted by Shayan Ali 3 years, 7 months ago

CBSE > Class 07 > Computer

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Harshit Bisht 3 years, 7 months ago

The motherboard is the backbone that ties the computer's components together at one spot and allows them to talk to each other. Without it, none of the computer pieces, such as the CPU, GPU, or hard drive, could interact. Total motherboard functionality is necessary for a computer to work well.

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…………….. go now. My father is waiting for me.

Posted by Mayank Singh 3 years, 7 months ago

CBSE > Class 08 > English