Question

If alpha + beta is 6 and alpha* beta is 4 then what is polynomial formed

Answer 1

Answer:

alpha + beta = 6 = -b/a

alpha × beta = 4 = c/a

so, a= 1

b = -6

c = 4

x²-6x+4

Answer 2

Answer: We have been given α and β are the zeroes of the polynomial such that α + β= 6 and αβ = 4 .

Sum of Zeroes:

α + β= 6

Product of Zeroes :

αβ = 4

General Formula of Quadratic Polynomial:

f(x) = x² - ( α + β )x + αβ

Find the Quadratic Polynomial:

x² - ( α + β )x + αβ

x² - ( 6 )x + 4

x² - 6x + 4

Therefore, Required Polynomial will be x² - 6x + 4.