  2. The graph of a quartic polynomial is given below. Write the complete factored form. Youwill need to solve for a. You may assume that the point (0-32) is on the graph.

Question help_outlineImage Transcriptionclose2. The graph of a quartic polynomial is given below. Write the complete factored form. You will need to solve for a. You may assume that the point (0-32) is on the graph. fullscreen
Step 1

Given that y = f(x) is a quartic polynomial. So it has degree 4 and it pass through point (0,-32), which is the y intercept.

Here we can see that if x tends to ∞ then f(x) tends to ∞ and x tends to - then f(x) tends to ∞. So we can say that a is a positive number since the degree of polynomial is 4 which is even.

Step 2

We can see that the graph cross x axis at x = -3 and at x = 2 and we know the multiplicity of zero of f(x) a...

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