Question

To factor 6x^2-11x+3 to determine (length and width) of thee rectangle
pool

Answer 1

2x - 3 and 3x - 1 are the length and width of the pool.

Explanation:

ax^2 + bx + c = 0

a * c --> 6 * 3 = 18

b --> -11

Two numbers that multiply to get 18 and add together to get -11 are -9 and -2.

-9(-2) = 18

-9 + (-2) = -11

-9/6x = -3/2x and -2/6x = -1/3x

(2x - 3)(3x - 1) = 6x^2 - 11x + 3