1.simplify the polynomial
-3f^2+4f-3+8f^2+7f+1
A.5f^2-11f+2
B.11^2+11f+2
C.5f^2+11f-2
D.-5f^2+3f-2
-3+8 = 5, so A or C
4+7 = 11, so C
To simplify the polynomial -3f^2+4f-3+8f^2+7f+1, you can combine the like terms:
-3f^2 + 8f^2 + 4f + 7f - 3 + 1
Combine the f^2 terms: -3f^2 + 8f^2 = 5f^2
Combine the f terms: 4f + 7f = 11f
Combine the constant terms: -3 + 1 = -2
Therefore, the simplified polynomial is 5f^2 + 11f - 2.
So, the correct answer is C. 5f^2 + 11f - 2.
To simplify the given polynomial, we need to combine like terms.
The given polynomial is: -3f^2 + 4f - 3 + 8f^2 + 7f + 1
Combining the like terms with the same degree of 'f', we have:
(-3f^2 + 8f^2) + (4f + 7f) + (-3 + 1)
Simplifying each group of like terms separately, we get:
5f^2 + 11f - 2
Therefore, the simplified form of the given polynomial is 5f^2 + 11f - 2.
So, the correct answer is C. 5f^2 + 11f - 2.