Add the polynomial

Question

expressions 3 - 2p- 5p2 and pt - 3p +4.(1 point)
0p7-5p2-5p+7
Opt-5p2-6p+7
0-5p2-4p+7
0-4p2-5p+7

Answer 1

To add the polynomial expressions \(3 - 2p - 5p^2\) and \(p - 3p + 4\), let’s first rewrite the second polynomial in a clearer form.

1. Combine the terms in the second polynomial: \[ p - 3p + 4 = -2p + 4. \]

Now we will add the two polynomials together:

2. Combine \(3 - 2p - 5p^2\) and \(-2p + 4\): \[ (3 + 4) + (-2p - 2p) - 5p^2. \]

3. Combine the constant terms, linear terms, and the quadratic term:

   • Constant: \(3 + 4 = 7\),
   • Linear: \(-2p - 2p = -4p\),
   • Quadratic: \(-5p^2\).

Putting it all together, we get:

\[ -5p^2 - 4p + 7. \]

Thus, the result of adding the two polynomial expressions is:

\[ -5p^2 - 4p + 7. \]

So the correct answer is: \[ 0 - 5p^2 - 4p + 7. \]

(Note that \(0 - 5p^2\) is just \(-5p^2\), so you can also represent it as \(-5p^2 - 4p + 7\)).