Q. Divide. If there is a remainder, include it as a simplified fraction.(−9h3+21h2+15h)÷3h
Separate and Divide: We have the expression (−9h3+21h2+15h)÷3h. To divide, we will separate the expression into individual terms and divide each by 3h.(−9h3+21h2+15h)÷3h=3h−9h3+3h21h2+3h15h
Divide First Term: Now let's divide the first term: (−9h3)/(3h).(−9h3)/(3h)=−9/3×h3/h=−3h2
Divide Second Term: Next, we divide the second term: (21h2)/(3h).(21h2)/(3h)=21/3×h2/h=7h
Divide Third Term: Finally, we divide the third term: (15h)/(3h).(15h)/(3h)=15/3×h/h=5
Combine Results: Combining the results from the three divisions, we get: (−9h3+21h2+15h)÷3h=−3h2+7h+5
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