Question

find all zeros F(X) = X^4 -6X^3 + 3X^2 + 42X -70
GIVEN SQRT(7) is a zero

Answer 1

Hint: Divide f(x) by by (x-sqrt(7)) to reduce the function

Answer 2

Hmmm, apparently -sqrt(7) was the other solution. The other two are imaginary.

Answer 3

From there, use the quadratic formula. I guess the hint to using -sqrt(7) is the 'sqrt part and the fact that the function has even roots. From there, use the quadratic formula.