Q. Divide. If there is a remainder, include it as a simplified fraction.(5j3+5j2+20j)÷5j
Divide Expression: We have the expression to divide: (5j3+5j2+20j)÷5jFirst, we will divide each term in the polynomial by the monomial 5j.(5j3+5j2+20j)÷5j=5j5j3+5j5j2+5j20j
Divide First Term: Now, let's divide the first term:(5j3)/(5j)=55×jj3=1×j(3−1)=j2
Divide Second Term: Next, we divide the second term:(5j2)/(5j)=55×jj2=1×j2−1=j
Divide Third Term: Finally, we divide the third term: egin{equation}\frac{20j}{5j} = \frac{20}{5} \times \frac{j}{j} = 4 \times 1 = 4\end{equation}
Combine Results: Combining the results from the previous steps, we get:(5j3+5j2+20j)÷5j=j2+j+4
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