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------------------------------------------------ What is the quotient when [tex]28x^{7} + 21x^{6} - 42x^{2}[/tex] is divided by [tex]-7x^{2}[/tex]?

Answer :

Final answer:

The quotient of the polynomial 28x^(7)+21x^(6)-42x^(2) divided by -7x^(2) is -4x^(5)-3x^(4)+6.

Explanation:

When you divide a polynomial by a monomial, you divide each term in the polynomial by the monomial. Here, you are given a polynomial 28x^(7)+21x^(6)-42x^(2) and asked to find the quotient when it is divided by -7x^(2).

Let's divide each term individually:

  • 28x^(7) / -7x^(2) = -4x^(5)
  • 21x^(6) / -7x^(2) = -3x^(4)
  • -42x^(2) / -7x^(2) = 6

So, the quotient of (28x^(7)+21x^(6)-42x^(2)) divided by -7x^(2) is -4x^(5)-3x^(4)+6.

Learn more about Polynomial Division here:

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