Add the polynomial expressions 3−2p−5p2 and p4−3p+4.(1 point)
Responses
−4p2−5p+7
negative 4 p squared minus 5 p plus 7
p4−5p2−5p+7
p superscript 4 baseline minus 5 p squared minus 5 p plus 7
−5p2−4p+7
negative 5 p squared minus 4 p plus 7
p4−5p2−6p+7
The right answer is p^4 - 5p^2 - 5p + 7
Apologies for the mistake. The correct answer is p^4 - 5p^2 - 5p + 7. Thank you for pointing out the error.
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The sum of the polynomial expressions 3−2p−5p² and p⁴−3p+4 is p⁴−5p²−6p+7.
To add the two polynomial expressions (3−2p−5p²) and (p⁴−3p+4), we need to combine like terms and simplify the expression.
First, let's rearrange the terms in ascending order of their exponents:
3−2p−5p² + p⁴−3p+4
Now, let's combine the like terms. Similar terms are the ones with the same exponent:
p⁴ + (-5p²) + (-2p) + (-3p) + 3 + 4
Combining the like terms, we have:
p⁴ - 5p² - 5p + 7
So, the sum of the polynomial expressions 3−2p−5p² and p⁴−3p+4 is p⁴ - 5p² - 5p + 7.