SOLUTION: How do I divide and check this? 42x^7 - 42x^3 + 30x ___________ ____ 6x

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Question 463836: How do I divide and check this?
42x^7 - 42x^3 + 30x
________________
6x
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
42x^7 - 42x^3 + 30x
________________
6x

= 42x^7/6x - 42x^3/6x + 30x/6x {divided each term by 6x}
= 7x^6 - 7x^2 + 5 {divided and subtracted exponents when dividing}

To check, multiply:
6x(7x^6 - 7x^2 + 5) = 42x^7 - 42x^3 + 30x......it it is correct

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