Question

Find a quadratic polynomial whose zeros are 5 + root 7 and 5 - root 7

Answer 1

Answer:

Step-by-step explanation:

Zeroes are 5+√7, 5-√7

Sum of zeroes = 5+√7 + 5-√7 = 10

Product of ,zeroes = (5)^2 - (√7)^2

= 25 - 7=18

Hence required polynomial is

x^2 - (sum of zeroes)x + product of zeroes

= x^2 - 10x + 18

Hope it is clearl.