Question

Question #f5fd1

Answer 1

`6`

Explanation:

This can be reasoned by the fact that the coefficients of the polynomial are real. Imaginary roots come in pairs as complex conjugates, so if there are 7 roots, then that means a maximum of 3 pairs of conjugates .i.e 6.

You wouldn't be expected to solve an equation like this at precalc level.

You can confirm this from the graph that there is only one real root.

graph{2x^7-x^4+4x^3-5 [-10, 10, -5, 5]}