Let f (x) = 3x2 - 2x + 6 and g (x) = 7x - 4. Identify the rule for f+g.

A

3x2 + 7x + 10

B. 3x2 - 9x + 10

C. 147x2 - 182x + 62

D. 3x2 + 5x + 2

D. 3x2 + 5x + 2

Step-by-step explanation:

To add two polynomials, we add all the common terms.

In this problem, we have that:

f (x) = 3x² - 2x + 6

g (x) = 7x - 4

f (x) + g (x) = 3x² - 2x + 6 + 7x - 4 = 3x² - 2x + 7x + 6 - 4 = 3x² + 5x + 2

So the correct answer is:

D. 3x2 + 5x + 2