Question

from a quadratic whose root are 3-√7. and 3+√7​

Answer 1

Answer:

x² – 9x + 2

Step-by-step explanation:

α = 3 – √7

β = 3 + √7

p(x) = x² – (α + β)( x ) + (α x β)

=> x² – ( 3 – √7 + 3 + √7 )( x ) + ( 3 – √7 ) ( 3 + √7 )

=> x² – ( 3 + 3 )( x ) + ( 9 + 3√7 – 3√7 – 7 )

=> x² – ( 9 )( x ) + ( 9 – 7 )

=> x² – 9x + 2