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(-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

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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.

This problem has been solved

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