Simplify the polynomial.
–3f2 + 4f – 3 + 8f2 + 7f + 1
A. 5f2 – 11f + 2
B. 11f2 + 11f + 2
C. 5f2 + 11f – 2
D. –5f2 + 11f – 2
First, we can combine like terms, which gives us:
5f2 + 11f - 2
So the answer is C. 5f2 + 11f - 2.
To simplify the given polynomial, we combine like terms. Like terms are terms that have the same variable(s) raised to the same power.
The given polynomial is:
-3f^2 + 4f - 3 + 8f^2 + 7f + 1
To combine the terms with the same variable raised to the same power, we add or subtract their coefficients. In this case, we combine the terms with the variable 'f' raised to the power of 2 and the terms with 'f' (since these are the only variables in the polynomial).
Combining the 'f^2' terms, we have:
-3f^2 + 8f^2 = 5f^2
Combining the 'f' terms, we have:
4f + 7f = 11f
Finally, combining the constant terms, we have:
-3 + 1 = -2
Putting it all together, the simplified form of the polynomial is:
5f^2 + 11f - 2
Therefore, the correct answer is option C. 5f^2 + 11f - 2.
To simplify the given polynomial, we need to combine like terms.
The polynomial is: -3f^2 + 4f - 3 + 8f^2 + 7f + 1
Combining the like terms, we have:
(-3f^2 + 8f^2) + (4f + 7f) + (-3 + 1)
Simplifying further, we get:
5f^2 + 11f - 2
Therefore, the correct simplification of the polynomial is:
A. 5f^2 - 11f + 2