Q. Divide. If there is a remainder, include it as a simplified fraction.(12s2−42s)÷6s
Divide by 6s: We have the expression to divide: (12s2−42s)÷6sFirst, we will divide each term in the polynomial by the monomial 6s.(12s2−42s)÷6s= \frac{12s^2}{6s} - \frac{42s}{6s}
Divide first term: Now let's divide the first term:(12s2)/(6s)= 12/6×s2/s= 2×s= 2sWe check for any math errors in this step.
Divide second term: Next, we divide the second term:(42s)/(6s)= 42/6×s/s= 7×1= 7Again, we check for any math errors in this step.
Combine results: Now we combine the results of the division of each term:(12s2)/(6s)−(42s)/(6s)= 2s−7This is the simplified form of the original expression after division.
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