(-x3 + 3x2 + 3) + (3x2 + x + 4)= A.-x3 + 6x2 + x + 7B.2x5 - x + 7C.-x3 + 9x2 + x + 7D.2x6 + x + 7
Question
(-x3 + 3x2 + 3) + (3x2 + x + 4) =
A. -x3 + 6x2 + x + 7
B. 2x5 - x + 7
C. -x3 + 9x2 + x + 7
D. 2x6 + x + 7
Solution
To solve this, we need to combine like terms from both expressions.
In the first expression, we have -x^3, 3x^2, and 3.
In the second expression, we have 3x^2, x, and 4.
When we combine like terms, we add the coefficients (the numbers in front of the variables).
So, -x^3 (from the first expression) doesn't have a like term in the second expression, so it remains as is.
3x^2 (from the first expression) and 3x^2 (from the second expression) combine to 6x^2.
x (from the second expression) doesn't have a like term in the first expression, so it remains as is.
Finally, 3 (from the first expression) and 4 (from the second expression) combine to 7.
So, the final expression is -x^3 + 6x^2 + x + 7.
Therefore, the correct answer is A. -x^3 + 6x^2 + x + 7.
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