factorize the expression

Question

Factor completely: 28x2 + 19x – 30

 

Answer 1

The equation is 28x² + 19x - 30 = 0

28x² + 40x - 21x - 30 = 0                        (Factor the left side)

4x ( 7x + 10 ) - 3 ( 7x + 10 ) = 0              (Zero product property)

( 7x + 10 )   ( 4 - 3 ) = 0                          (Solve the equation)

7x + 10 = 0     or     4x - 3 = 0

7x = - 10         or       4x = 3

x = -10/7         or         x =   3/4

The result   28x² + 19x - 30 = 0 of x is ( -10/7 ,3/4).

Comments

The complete factor of 28x² + 19x - 30 is (7x + 10)(4x - 3).