Question

Simplify (15x2 – 24x + 9) / (3x –3) =

a. 5x +3
b. 5x – 13 with a –30 remainder
c. 5x –3
d. 5x +13 with a –30 remainder

Answer 1

`(15x^(2) - 24x + 9)/(3x - 3) = (3(5x^(2)) - 3(8x) + 3(3))/(3(x) - 3(1)) = (3(5x^(2) - 8x + 3))/(3(x - 1)) = (5x^(2) - 8x + 3)/(x - 1) = (5x^(2) - 5x - 3x + 3)/(x - 1) = (5x(x) - 5x(1) - 3(x) - 3(-1))/(x - 1) = (5x(x - 1) - 3(x - 1))/(x - 1) = ((5x - 3)(x - 1))/(x - 1) = 5x - 3`

The answer is C.