Question

find a quadratic polynomial whose sum of zeros is 9/2 and product of zeros is 2
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Answer 1

$\large \bf \clubs \:  Given :-$

For a Quadratic Polynomial :

   

• Sum of Zeros = 9/2

• Product of Zeros = 2

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$\large \bf \clubs \:   To  \: Find :-$

• The Quadratic Polynomial.

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$\large \bf \clubs \:   Main  \:  Concept : -$

☆ If sum and product of zeros of any quadratic polynomial are S and P respectively,

Then,

The quadratic polynomial is given by :-

$\large \bf  {x}^{2}  - S \: x + P$

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$\large \bf \clubs \:  Solution  :-$

Here,

• Sum = S = 9/2

• Product = P = 2

So,

Required Polynomial should be :

$\large\bf  {x}^{2}  - S \: x + P$

$\large:\longmapsto  \tt{x}^{2}  - \dfrac{9}{2} x + 2$.

$\Large\pink{:\longmapsto\pmb{2 {x}^{2}  -9x +4}}$

$\Large \red{\mathfrak{  \text{W}hich \:   \: is  \:  \: the  \:  \: required} }\\ \huge \red{\mathfrak{ \text{ A}nswer.}}$

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Answer 2

$\huge \boxed{ \bf \blue{2 {x}^{2} - 9x + 4}}$

Step-by-step explanation:

QUESTION :-

Find a quadratic polynomial whose sum of zeros is 9/2 and product of zeros is 2.

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SOLUTION :-

Given -

• Sum of zeros (S) = 9/2
• Product of zeros (P) = 2

To find the quadratic polynomial,

x² - (S)x + P

=> x² - (9/2)x + 2

=> x² - 9/2x + 2

[multiply the polynomial by 2]

=> 2(x² - 9/2x + 2)

=> 2x² - 9x + 4

So,

the required quadratic polynomial is 2x² - 9x + 4.

hope it helps.

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