What is (3x^2−2)+(11−5x)? Explain how you got your answer. (1 point)
1. −2x^2+9
2. 3x^2+5x−9
3. 2x^2−9
4. 3x^2−5x+9
To solve the given expression (3x^2−2)+(11−5x), we first combine like terms within parentheses.
The expression within the first set of parentheses, (3x^2−2), remains unchanged.
The expression within the second set of parentheses, (11−5x), can be rewritten as (-5x+11) by rearranging the terms.
Now, we can combine like terms by adding the corresponding coefficients.
For the quadratic terms, we add 3x^2 + 0x^2 = 3x^2.
For the linear terms, we add -2 + 11 = 9.
Thus, the simplified expression is 3x^2 + 9, which corresponds to option 2: 3x^2 + 5x − 9.