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Divide. If there is a remainder, include it as a simplified fraction.\newline(45t2+15t)÷5t(45t^2 + 15t) \div 5t

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Q. Divide. If there is a remainder, include it as a simplified fraction.\newline(45t2+15t)÷5t(45t^2 + 15t) \div 5t
  1. Divide Expression: We have the expression to divide: \newline(45t2+15t)÷5t(45t^2 + 15t) \div 5t\newlineFirst, we will divide each term in the polynomial by the monomial 5t5t.\newline(45t2+15t)÷5t=45t25t+15t5t(45t^2 + 15t) \div 5t = \frac{45t^2}{5t} + \frac{15t}{5t}
  2. Divide First Term: Now let's divide the first term:\newline(45t2)/(5t)=455×t2t=9t(45t^2)/(5t) = \frac{45}{5} \times \frac{t^2}{t} = 9t
  3. Divide Second Term: Next, we divide the second term:\newline(15t)/(5t)=15/5×t/t=3(15t)/(5t) = 15/5 \times t/t = 3
  4. Combine Results: Combine the results of the division of each term: \newline(45t2+15t)÷5t=45t25t+15t5t=9t+3(45t^2 + 15t) \div 5t = \frac{45t^2}{5t} + \frac{15t}{5t} = 9t + 3

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