Question

What is the result of adding the polynomials 3x2+2x−1 and 2x2−5x+4 ?(1 point) Responses 5x2−3x+5 5 x squared minus 3 x plus 5 5x2−7x+3 5 x squared minus 7 x plus 3 5x2−3x+3 5 x squared minus 3 x plus 3 6x2−3x+3

Answer 1

To add the polynomials \(3x^2 + 2x - 1\) and \(2x^2 - 5x + 4\), you need to combine like terms.

1. Add the coefficients of \(x^2\):
\[
3x^2 + 2x^2 = 5x^2
\]

2. Add the coefficients of \(x\):
\[
2x - 5x = -3x
\]

3. Add the constant terms:
\[
-1 + 4 = 3
\]

Now, combine all the results:
\[
5x^2 - 3x + 3
\]

So, the result of adding these two polynomials is \(5x^2 - 3x + 3\).

The correct response is:
**5x² − 3x + 3**.