High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Perform the indicated operations and write the resulting polynomial in standard form:

\((6x^7 + 3x^5 + 3x) + (8x^7 + 5x^5 - 7x)\)

A. \(14x^7 + 8x^5 - 4x\)

B. \(14x^7 + 8x^5 - 4x^2\)

C. \(14x^7 + 8x^5 - 10x\)

D. \(14x^7 + 8x^5 - 4\)

Answer :

Final answer:

To solve the question, we combine like terms to get the resulting polynomial in standard form: 14x^7 + 8x^5 - 4x (option c).

Explanation:

The student is tasked with performing the indicated operations and writing the resulting polynomial in standard form after combining like terms from the given polynomials (6x7+3x5+3x) and (8x7+5x5-7x). To solve this, we simply add the coefficients of the like terms:

  • Combine x7 terms: 6x7 + 8x7 = 14x7
  • Combine x5 terms: 3x5 + 5x5 = 8x5
  • Combine x terms: 3x - 7x = -4x

The resulting polynomial in standard form is 14x7 + 8x5 - 4x.

The correct answer is: (c) 14x7 + 8x5 - 4x

Other Questions