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Answer :
Final answer:
When (28x^7 - 21x^6 - 42x^2) is divided by -7x^2, the quotient is -4x^5 - 3x^4 - 6. Each term of the polynomial should be divided by -7x^2 separately to find this answer.
Explanation:
To find the quotient when dividing the polynomial (28x^7 - 21x^6 - 42x^2) by -7x^2,
you need to divide each term in the polynomial by -7x^2 separately.
Starting with the first term, 28x^7 divided by -7x^2 gives you -4x^5.
Next, 21x^6 divided by -7x^2 results in -3x^4.
Finally, 42x^2 divided by -7x^2 results in -6.
So, the quotient when (28x^7 - 21x^6 - 42x^2) is divided by -7x^2 is -4x^5 - 3x^4 - 6.
Learn more about Dividing Polynomials here:
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