Find all the zeros of the equation x^5-3x^4-15x^3+45x^2-16x+48=0
To solve the equation x^5 - 3x^4 - 15x^3 + 45x^2 - 16x + 48 = 0, we can try using synthetic division or factoring to find the zeros. However, this equation does not appear to have any rational zeros. Therefore, we will use numerical methods such as the Rational Root Theorem or graphing to estimate the zeros.
Using a graphing calculator or software, we can plot the equation and find its zeros. The zeros are approximately x ≈ -2.799, x ≈ -1.324, x ≈ 1.442, x ≈ 2.74, and x ≈ 5.041.