Question

Find a quadratic polynomial root2+3and root 2-3

Answer 1

here let a, B be the roots

a= √2+3 and B= √2-3

now,

a+B=( √2+3)+ (√2-3)

= 2√2

also

aB= (√2+3)(√2-3)

= 2-3√2+ 3√2-9

= -7

therefore,

the formula for finding a quadratic polynomial:

x2- (a+B)x+ aB

x2- 2√2x-7=0.....required quadratic polynomial.

hope this helps!;☺❤✌