Question

Pierce removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 −17x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

Answer 1

C. (5x − 1)(2x − 3)

Explanation:

A. 10(x − 3)2 − 1

B. 10(x − 1)2 − 3

C. (5x − 1)(2x − 3)

D. 10(0)2 − 17(0) + 3

Given

10x^2 −17x + 3

To find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

The trough is already empty

Find the factors of quadratic equation

10x^2 - 15x - 2x + 3

Factorise

5x(2x - 3) - 1(2x - 3)

(5x - 1) (2x - 3)

The correct answer is C. (5x − 1)(2x − 3)