1 votes 1 votes Let $P$ be a degree $3$ polynomial with complex coefficients such that the constant term is $2010$. Then $P$ has a root $\alpha$ with $|\alpha| > 10$. Set Theory & Algebra tifrmaths2011 polynomials + – makhdoom ghaya asked Dec 10, 2015 makhdoom ghaya 504 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes P(x) = x^3+bx^2+cx+2010 where 2010= d product of roots(αβγ) = 2010 |α| |β| |γ| = 2010 |α|≤10 , |β|≤10 , |γ|≤10 Then atleast one root is greater than 10. Hence the statement is TRUE. Neetu Suthar answered Dec 6, 2017 Neetu Suthar comment Share Follow See 1 comment See all 1 1 comment reply Keval ahir commented Oct 22, 2022 reply Follow Share Why are you take monic polynomial 0 votes 0 votes Please log in or register to add a comment.