Question

find the quadratic polynomial who's zeros are (3+√7) and (3-√7).
if you don't know please don't answer.
​

Answer 1

Answer:

x² - 6x + 2

Step-by-step explanation:

Let the zeroes of the quadratic polynomial be

a = 3 + √7 and b = 3 - √7

Then, a + b = 3 + √7 + 3 - √7

= 6

ab = (3 + √7) (3-√7)

= 9 - 7 = 2

Sum of zeros = a + b = 6

Product of zeros = ab = 2

Then, the quadratic polynomial = x² - (sum of zeros)x + product of zeros

= x² - 6x + 2

This is the required answer.