Question

0.143Find the quadratic polynomial chese Zeroes are
√2+3 and√2-3​

Answer 1

Given:

• √2 + 3 and √2 - 3 are the zeroes .

To find :

• Quadratic polynomial :

Solution :

As we know that :

• Quadratic polynomial

=> x² - ( sum of zeroes )x + product of zeroes .

Put the given values ,

=> x² - ( √2+3 + √2 -3 )x + ( √2+3)(√2-3)

=> x² - 2√2x + (-7)

=> x² - 2√2x -7 .