Question

Form a quadratic polynomial whose zeroes are 3+√15 and 3-√15

Answer 1

Answer:

x square -6x - 6

Step-by-step explanation:  

let alpha = 3 +root 15 and beta = 3- root 15

then alpha + beta = 3 + root 15 +( 3 - root 15 )

= 3+ 3 = 6

and alpha x beta = (3+ root 15 ) (3 - root 15 )

= (3 )square - (root 15 ) suare

= 9 -15 = -6

p ( x) = x square - ( alpha + beta ) x + alpha x beta

= x square -(6)x  + (-6)

x square -6x - 6