Find a quadratic polynomial sum of zeros if root 2 and product of zeros are 1 by 3
Answers
Answered by
5
Answer
sum of zeros = √2
product of zeros = 1/3
p(x) = x² - (sum of zeros) x + product of zeros
= x² - √2x + 1/3
=3 x² -3√2 x +1/3
3x²-3√2x + 1/3 = 0
3x² - 3√2x +1 = 0
p(x) = 3x² -3√2x + 1
Similar questions