If 3 and 4 are sum of the root and product of the root respectively then the required polynomial is
Answers
the required polynomial is
x^2- 3 x+4
Given : 3 and 4 are sum of the root and product of the root respectively
To find : required polynomial
Solution:
sum of the root = 3
Products of roots = 4
Required polynomial is x ² - (sum of roots)x + (product of roots) = 0
=> x² - 3x + 4 = 0
another way
lets roots are α & β
then polynomial is
(x - α)(x - β)
Sum of roots = 3
=> α + β = 3
Product of roots = 4
=> αβ = 4
polynomial is (x - α)(x - β)
= x² - x(α + β ) + αβ
= x² - 3x + 4
x² - 3x + 4 is required polynomial
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