Problem

Simplify the polynomial expression \(2x^3 - 5x^2 + 4x - 3) + (-3x^3 + 2x^2 - x + 5)\)

Answer

Expert–verified
Hide Steps
Answer

This gives us \(-x^3 - 3x^2 + 3x + 2\).

Steps

Step 1 :First, combine like terms for each polynomial. This means adding or subtracting the coefficients of the terms with the same degree. In this case, we combine \(2x^3\) and \(-3x^3\), \(-5x^2\) and \(2x^2\), \(4x\) and \(-x\), and \(-3\) and \(5\).

Step 2 :This gives us \(-x^3 - 3x^2 + 3x + 2\).

link_gpt