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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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