Question

Find the sum of the polynomials:

(4x² – 8x + 10) + (-4x² + 7x – 5)

Option 1: -8x² - x + 5
Option 2: 15x + 5
Option 3: 8x - x + 5
Option 4: -8x² + 15x + 15

Answer 1

The sum of the polynomials is -x + 5.

Step-by-step explanation:

To find the sum of two polynomials, we add the corresponding terms together. In this case, we have:

• 4x² – 8x + 10
• -4x² + 7x – 5

Adding the corresponding terms gives us:

• 4x² + (-4x²) = 0
• (-8x) + 7x = -x
• 10 + (-5) = 5

Therefore, the sum of the two polynomials is -x + 5.