Questions: Find the sum of 4x^4 - 5x and 14x + 8

Transcript text: Find the sum of $4 x^{4}-5 x$ and $14 x+8$

Solution

Solution Steps

To find the sum of the two polynomials $4x^4 - 5x$ and $14x + 8$, we need to add the corresponding terms. Since these polynomials have different terms, we simply combine them into a single expression.

Step 1: Define the Polynomials

We start with the two polynomials: \[ P_1 = 4x^4 - 5x \] \[ P_2 = 14x + 8 \]

Step 2: Add the Polynomials

To find the sum $P$ of the two polynomials, we combine them: \[ P = P_1 + P_2 = (4x^4 - 5x) + (14x + 8) \]

Step 3: Combine Like Terms

Now, we combine the like terms: \[ P = 4x^4 + (-5x + 14x) + 8 = 4x^4 + 9x + 8 \]

Final Answer

The sum of the polynomials is: \[ \boxed{4x^4 + 9x + 8} \]

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