Use a General Strategy for Factoring Polynomials
-A department store is having a clearance sale. The price on a television is reduced by $27 \%$. That sale price is then reduced by another $27 \%$. If $x$ is the television's original price, the sale price can be represented by ( $x$ $- 0.27 x ) - 0.27 ( x - 0.27 x )$. With these two reductions, at what percentage of the original price is the television being sold? Use the factored, simplified form of the expression to answer the question.

Question

Quizplus · Accepted Answer

The sale price after two reductions can be simplified as follows: $x - 0.27x - 0.27(x - 0.27x) = x(1 - 0.27) - 0.27x(1 - 0.27) = 0.73x - 0.27(0.73x) = 0.73x(1 - 0.27) = 0.73x \times 0.73 = 0.5329x$. This means the television is being sold at 53.29% of the original price.

Use a General Strategy for Factoring Polynomials -A Department Store 27%27 \%27%

Use a General Strategy for Factoring Polynomials
-A Department Store $27 \%$