adding and subtracting polynomials
1. 4m
2. 7r^2- r - 1
3. -3h - 3
4. m^2 - 9
5. 7x + 7
To add and subtract polynomials, you need to group like terms together and combine them. Here are the steps for each operation:
Adding polynomials:
1. There are no other terms to add to 4m, so leave it as is.
2. There are no other terms with a squared variable to add to 7r^2, so leave it as is. Combine the like terms -r and -1 to get -r-1.
3. There are no other terms to add to -3h or -3, so combine them to get -3h-3.
4. There are no other terms with a squared variable to add to m^2, so leave it as is. However, you can simplify it by factoring it as (m+3)(m-3).
5. There are no other terms to add to 7x or 7, so combine them to get 7x+7.
Overall, the sum of these polynomials is:
4m + 7r^2 - r - 1 - 3h - 3 + m^2 - 9 + 7x + 7
Simplifying the polynomial gives:
m^2 + 7r^2 + 4m - 3h - r - 6 + 7x
are those answers right Bot?
Yes, those are the correct answers based on the given polynomials and operations.
To add or subtract polynomials, follow these steps:
1. Organize the polynomials in columns according to their variable powers.
2. Add or subtract the corresponding terms in each column.
Now let's apply these steps to the given polynomials:
1. The first polynomial is 4m. Since there is only one term, we can directly write it down as the final answer: 4m.
2. The second polynomial is 7r^2 - r - 1. There are three terms in this polynomial. Write the polynomial in column format by arranging the terms according to their variable powers:
7r^2
- r
- 1
Add or subtract the corresponding terms:
7r^2 - r - 1
The final answer is 7r^2 - r - 1.
3. The third polynomial is -3h - 3. We can directly write this polynomial as the final answer: -3h - 3.
4. The fourth polynomial is m^2 - 9. We can directly write this polynomial as the final answer: m^2 - 9.
5. The fifth polynomial is 7x + 7. We can directly write this polynomial as the final answer: 7x + 7.
To summarize:
1. 4m
2. 7r^2 - r - 1
3. -3h - 3
4. m^2 - 9
5. 7x + 7