Math, asked by xsapna93, 9 months ago

find a quadratic polynomial whose sum and product of zeros are 4,1 respectively​

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Answered by Anonymous
3

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Answered by Anonymous
4

Given that,

Sum of the zeroes : α + ß = 4

Product of the zeroes : αß = 1

Form of quadratic polynomial is

⟹ {x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  = 0

Substitute the zeroes...

⟹ {x}^{2}  - (4)x + 1 = 0 \\  \\ ⟹ {x}^{2}  - 4x + 1 = 0

The quadratic polynomial is x² - 4x + 1 = 0

Step-by-step explanation:

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