Question

find the quadratic polynomial having one zero is (5+√2)​

Answer 1

Step-by-step explanation:

let another zero of the polynomial be p

=> polynomial

= x²-(5+√2+p)x + ( 5+√2)p

hope this helps you

Answer 2

Answer:

When one root of a quadratic polynomial is irritational then the other one is the conjugate of that first one.

Here one root is 5 + √2

then the other should be 5 - √2

Their sum = 5 + √2 + 5 + √2 = 10

Their product is = ( 5 + √2 )( 5 - √2 ) = 5^2 - √2^2 = 25 - 2 = 23

Hence the required polynomial is x^2 - 10x + 23 = 0