Question

adding & subtracting polynomials quick check
what is ((3x^2 - 2) + (11 - 5x))? (1 point)
(2x^2 - 9)
(3x^2 - 5x + 9)
(-2x^2 + 9)
(3x^2 + 5x - 9)

Explanation:

Step1: Remove parentheses

To add the polynomials, we first remove the parentheses: \((3x^2 - 2)+(11 - 5x)=3x^2 - 2 + 11 - 5x\)

Step2: Combine like terms

Now we combine the constant terms \(-2\) and \(11\). The like terms for constants are \(-2\) and \(11\), so \(-2 + 11=9\). The term with \(x^2\) is \(3x^2\) (no other \(x^2\) terms to combine), and the term with \(x\) is \(-5x\) (no other \(x\) terms to combine). So putting it all together, we get \(3x^2-5x + 9\)

Answer:

\(3x^2 - 5x + 9\) (the second option: \(3x^2 - 5x + 9\))