Question

find the polynomial whoes zeroes are 2+√5 and 2-√5​

Answer 1

Step-by-step explanation:

Given zeroes,

5+√2 and 5-√2

Sum of the zeroes=5+√2+5-√2

Sum of the zeroes=10

Product of zeroes=(5+√2)(5-√2)

Product of zeroes=25-2=23

We know that quadratic polynomial is in the form of,

=k{x²-(sum of zeroes)x+product of zeroes}

By putting required values we get,

=k{x²-10x+23}

=x²-10x+23

Hence x²-10x+23 is the required polynomial.

Answer 2

Answer:

sum of the roots =2+√5+2-√5

=4

product of roots=(2+√5)(2-√5)

=4-5

=-1

for quadratic equations

x²+4x-1