Question

A.4 Add and subtract polynomials 5subtract. (6f²+2f+2)-f²

Answer 1

To subtract the polynomial f² from 6f²+2f+2, combine like terms by subtracting the coefficients of f², resulting in 5f². The rest of the terms remain unchanged, giving the final answer of 5f² + 2f + 2.

Step-by-step explanation:

To add or subtract polynomials, we combine like terms, which means we add or subtract the coefficients (numbers in front of the variable) of terms that have the same variable raised to the same power.

Given the problem (6f²+2f+2)-f², we need to subtract the polynomial f² from the polynomial 6f²+2f+2.

Here's the step-by-step process:

1. Identify like terms. In this case, 6f² and -f² are like terms.
2. Combine the coefficients of like terms. So, subtract the coefficient of f²: 6f² - f² = 5f².
3. Write down all the other terms without changes since there are no like terms to combine with them. So, we have +2f and +2.
4. Our final answer is: 5f² + 2f + 2.

It is important to eliminate terms wherever possible to simplify the algebra and then check the answer to see if it is reasonable.