Question

find the quardratic polynomial whose sum and produet of zeroes are 4, 1 respectively​

Answer 1

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 in the equation

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

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

Step-by-step explanation:

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