Problem

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second. \[ -4 w^{3}+4 w^{2}-5, w-3 \] The quotient is

Solution

Step 1 :The problem is asking for the quotient when the polynomial \(-4w^3 + 4w^2 - 5\) is divided by \(w - 3\). This is a simple polynomial division problem.

Step 2 :We can solve this by using the synthetic division method or long division method for polynomials.

Step 3 :Performing the division, we find that the quotient is \(-4w^2 - 8w - 24\).

Step 4 :Final Answer: The quotient when the polynomial \(-4w^3 + 4w^2 - 5\) is divided by \(w - 3\) is \(\boxed{-4w^2 - 8w - 24}\).

From Solvely APP
Source: https://solvelyapp.com/problems/a8gJ0vC5tC/

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