Problem
Use the ALEKS graphing calculator to find all the zeros of the polynomial function. \[ f(x)=-4 x^{4}-7 x^{3}+9 x^{2}+11 x-3 \] Round to the nearest hundredth. If there is more than one answer, separate them with commas. zero(s): []
Solution
Step 1 ：Given the polynomial function \(f(x)=-4 x^{4}-7 x^{3}+9 x^{2}+11 x-3\), we need to find all the zeros of the function.
Step 2 ：To find the zeros of the polynomial function, we need to solve the equation \(f(x) = 0\).
Step 3 ：By using a numerical method, we find the roots of the equation to be approximately \(1.29179552, -2.12090354, -1.15740779, 0.23651581\).
Step 4 ：Rounding these values to the nearest hundredth, we get \(1.29, -2.12, -1.16, 0.24\).
Step 5 ：Final Answer: The zeros of the polynomial function are \(\boxed{1.29, -2.12, -1.16, 0.24}\).
