factors

Question

Factor completely: 15x² – 52x + 21

Answer 1

The equation is 15x² - 52x + 21

Let\'s assume 15x² - 52x + 21 = 0

15x² - 45x - 7x + 21 = 0                           (Factor the left side equation)

15x (x - 3) - 7 (x - 3) =   0

(15x - 7)   (x - 3) = 0                                (Zero product property)

15x - 7 = 0     or     x - 3 = 0

15x = 7     or   x = 3

x = 15/7    or   x = 3

The result 15x²-52x+21=0 of x is ( 15/7 ,3).

Comments

The complete factor of 15x² - 52x + 21 is (x - 3)(15x - 7).