Q. Divide. If there is a remainder, include it as a simplified fraction.(18j2+8j)÷2j
Divide by 2j: We have the expression to divide: (18j2+8j)÷2jFirst, we will divide each term in the polynomial by the monomial 2j.(18j2+8j)÷2j=2j18j2+2j8j
Divide first term: Now let's divide the first term:(18j2)/(2j)=18/2×j2/j=9jWe have divided the coefficient 18 by 2 and reduced the powers of j by subtracting the exponents (2−1=1).
Divide second term: Next, we divide the second term:(8j)/(2j)=8/2×j/j=4Here, we have divided the coefficient 8 by 2 and canceled out the j terms since they are the same in the numerator and denominator.
Combine results: Combining the results from the two divisions, we get:(18j2+8j)÷2j=9j+4This is the simplified form of the expression, with no remainder.
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