The area of a rectangular basketball court is 5x^2-7x+2. Factor 5x^2-7x+2 to determine the dimensions (length and width) of the rectangle basketball court

To factor the expression 5x^2-7x+2, we need to find two numbers that multiply to the constant term (2) and add up to the coefficient of the x term (-7).

The factored form of 5x^2-7x+2 is (5x-2)(x-1).

Therefore, the dimensions of the basketball court are 5x-2 and x-1.