What is the sum of the polynomials 7x³ + 4x² and 2x³ + 4x²?

To find the sum of the polynomials 7x³ + 4x² and 2x³ + 4x², we start by combining like terms.

First, we can rewrite the polynomials as:

• First polynomial: 7x³ + 4x²
• Second polynomial: 2x³ + 4x²

Now, let’s add them together:

(7x³ + 4x²) + (2x³ + 4x²)

Next, we group the similar terms:

• x³ terms: 7x³ + 2x³ = 9x³
• x² terms: 4x² + 4x² = 8x²

Now, we can combine these results:

The sum of the polynomials is:

9x³ + 8x²

So, the final answer is:

Sum = 9x³ + 8x²