Answer:

ANSWER:

Quadratic polynomial = x^2 -(√2 +1)x +(√2-1)

GIVEN:

SUM OF ZEROS = √2 +1

PRODUCT OF ZEROS = 1/(√2+1)

TO FIND:

Quadratic polynomial with the help of sum of zeros and product of zeros.

SOLUTION:

Firstly rationalise the product of zero:

here

Standard form of quadratic equations when sum of zeros and product of zeros are given.

Putting the values:

NOTE:

Important formulas:

Where a= coefficient of x^2. b= coefficient of x.

c = constant term

Step-by-step explanation: