Question

Which polynomial has exactly 3 roots?
3x² + 3x - 3
2x³x²-x+4
x(x³ + 3x - 4)

Answer 1

`2x^3-x^2-x+4`

Explanation:

The root of a polynomial: the value of which x makes f(x) = a,x^n+a₂x^n-1+...+aₙx+aₙ⁺₁=0

Because the polynomial has exactly 3 roots, we know that f(x) = (x+a) (x+b) (x+c)

(-a,-b and -c are the 3 roots)

So its highest digit is 3.

Only 2x³ - x² - x + 4 corresponds to it.