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Algebra 1 Unit 7 Quiz RETAKE Simplify each sum. (5n^(3)-2n^(2)-5n^(4))+(6n^(3)+4n^(4)+4n^(2))

Algebra 11\newlineUnit 77 Quiz RETAKE\newlineSimplify each sum.\newline11) (5n3−2n2−5n4)+(6n3+4n4+4n2) \left(5 n^{3}-2 n^{2}-5 n^{4}\right)+\left(6 n^{3}+4 n^{4}+4 n^{2}\right)

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Q. Algebra 11\newlineUnit 77 Quiz RETAKE\newlineSimplify each sum.\newline11) (5n3−2n2−5n4)+(6n3+4n4+4n2) \left(5 n^{3}-2 n^{2}-5 n^{4}\right)+\left(6 n^{3}+4 n^{4}+4 n^{2}\right)
  1. Combine like terms: Combine like terms by adding the coefficients of the terms with the same degree.\newline(5n3−2n2−5n4)+(6n3+4n4+4n2)=(5n3+6n3)+(−2n2+4n2)+(−5n4+4n4)(5n^3 - 2n^2 - 5n^4) + (6n^3 + 4n^4 + 4n^2) = (5n^3 + 6n^3) + (-2n^2 + 4n^2) + (-5n^4 + 4n^4)
  2. Add n3n^3 terms: Add the coefficients of n3n^3 terms.\newline5n3+6n3=11n35n^3 + 6n^3 = 11n^3
  3. Add n2n^2 terms: Add the coefficients of n2n^2 terms.\newline−2n2+4n2=2n2-2n^2 + 4n^2 = 2n^2
  4. Add n4n^4 terms: Add the coefficients of n4n^4 terms.\newline−5n4+4n4=−1n4-5n^4 + 4n^4 = -1n^4
  5. Write final polynomial: Write the final simplified polynomial.\newline−1n4+11n3+2n2-1n^4 + 11n^3 + 2n^2

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