Question

Write the polynomial whose two zeroes are -2-root2 and 2-root3

Answer 1

Step-by-step explanation:

zeroes are (-2 - √2) and (2 - √3)

sum of zeroes = (-2 - √2) + (2 - √3)

= - 2 - √2 + 2 - √3

= -√2 - √3

= -(√2 + √3)

product of zeroes = (-2 - √2)(2 - √3)

- 4 + 2√3 - 2√2 + √6

polynomial = x² - (sum of zeroes)x + product of zeroes = 0

x² -[-(√2 + √3]x + (-4 + 2√3 - 2√2 + √6) = 0

x² + (√2 + √3)x + (-4 + 2√3 - 2√2 + √6) = 0

Answer 2

Step-by-step explanation:

Hope this answer will help and sorry for bad handwriting.