Question

Find all the zeros of polynomial functionsf(x)=x^6+6x^5-14x^4-208x^3-672x^2-928x-480

Answer 1

Step-by-step explanation:

Taking into account the graph of the function, we can identify zeros at x = 6 and x = -2. So, we can start the synthetic division with these numbers.

So, The synthetic division of f(x) = x⁶ + 6x⁵ -14x⁴-208x³ - 672x² -928x - 480 with x = 6 is:

Therefore, x = 6 is a zero of the equation.

If we make the synthetic division again with x = -2, we get: