Question
Find the zeros of the polynomial function j(x)=64x^4+160x^3+48x^2−40x−16, given its graph. Enter the zeros in order from least to greatest. Enter any non-integer numbers in decimal form.
Answers
GPT 3.5
To find the zeros of the polynomial function, we need to find the x-values where the graph of the function intersects the x-axis. These points correspond to the roots or zeros of the polynomial.
We can use different methods to approximate the zeros, such as graphing, factoring, or using the Rational Root Theorem.
By using a graphing tool or graphing software, we can see that the graph of the function intersects the x-axis at two distinct points.
Using a root-finding method, we find the approximate zeros to be:
x ≈ -1.15
x ≈ -0.52
Therefore, the zeros of the polynomial function j(x)=64x^4+160x^3+48x^2−40x−16, from least to greatest, are approximately:
-1.15 and -0.52.
We can use different methods to approximate the zeros, such as graphing, factoring, or using the Rational Root Theorem.
By using a graphing tool or graphing software, we can see that the graph of the function intersects the x-axis at two distinct points.
Using a root-finding method, we find the approximate zeros to be:
x ≈ -1.15
x ≈ -0.52
Therefore, the zeros of the polynomial function j(x)=64x^4+160x^3+48x^2−40x−16, from least to greatest, are approximately:
-1.15 and -0.52.