How do you solve this? g(x) = 15x² - 2x – 1

Question

g(x) = 15x² - 2x – 1

Answer 1

15x^2 -2x -1

=(5x+1)(3x-1)

set each factor = 0

x =-1/5, x=1/3

the zeros are -1/5 and 1/3

those are values of x that make the polynomial =0

15x^2 -2x -1

15(-1/5)^2 -2(-1/5) -1

= 15/25 +2/5 -1

= 3/5 +2/5 -1

= 5/5 -1

= 1-1

=0

15(1/3)^2 -2(1/3) -1

= 15/9 -2/3-1

=5/3 -2/3 -1

= 3/3 -1

=1-1

=0