Q. Divide. If there is a remainder, include it as a simplified fraction.(8p2−24p)÷4p
Divide by 4p: We have the expression to divide: (8p2−24p)÷4pFirst, we will divide each term in the polynomial by the monomial 4p.(8p2−24p)÷4p=4p8p2−4p24p
Divide first term: Now let's divide the first term:(8p2)/(4p)=8/4×p2/p=2×p=2pThis is because 8 divided by 4 is 2, and p2 divided by p is p.
Divide second term: Next, we divide the second term:(24p)/(4p)=24/4×p/p=6×1=6This is because 24 divided by 4 is 6, and p divided by p is 1.
Combine results: Now we combine the results of the division of each term:(8p2)/(4p)−(24p)/(4p)=2p−6This is the simplified form of the original expression after division.
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