Question

how many roots does f(x)=x^4-x^3-7x^2+5x+10 have

Answer 1

Given polynomial f(x) = x^4-x^3-7x^2+5x+10

By synthatic division

Answer 2

Note :

If a function is f (x) = ax^(n) + bx^(n - 1) + cx^(n - 2) + ..............., then, it has "n" roots, where n is the degree of the function and n should be positive.

The function is F(x) = x^4 - x^3 - 7x^2 + 5x + 10.

Since, the function is a 4 rth degree polynomial,  it has four roots.