Find a polynomial of degree 4 that has √2 + √7 as a root. That is, find integers a,b,c,d,e, so that x = √2 + √7 is a solution to the equation

ax^4+bx^3+cx^2+dx+e=0.

1. Find all the roots of this polynomial.

2. Given two distinct positive integers x and y, what can you conclude about polynomials that have \(\sqrt{x}+\sqrt{y}\) as a root.

Please explain answers.

Melody, Cphill, EP??

RandomUser Feb 27, 2020