find the following

? and ? are the roots of 2x² - 5x + 7.

Therefore,

? + ? = 5/2

? ? = 7/2

 

The roots of p(x) are 2? + 3? and 3? + 2?.

So, sum of roots = 5(? + ?) = 25/2

Product of roots = (2? + 3?)(3? + 2?)

Simplify this expression and put the values of ? + ? and ??.

 

The polynomial p(x) will be given as:

x² - (sum of roots)x + product of roots