Category: Algebra
"Published in Newark, California, USA"
Find the equation of a polynomial if the roots are 3, 1, and -√2.
Solution:
If
one of the root of the equation is given which is -√2 , then we need
to get its conjugate because we want to eliminate the radical sign
in the given equation. The conjugate of -√2 is √2 . Hence, the
equation or a factor from the product of a root and its conjugate is
Therefore, the equation of a polynomial is