Step-by-step explanation:
I'll do 2.
Alright,Alex let say we have factored a quadratic into two binomial, for example
[tex](5x + 3)(6x - 4)[/tex]
If we set both of those equal to zero
[tex](5x + 3)(6x + 4) = 0[/tex]
We can used the zero product property in this case to find the roots of the quadratic equation.
This means that
[tex]if \: ab = 0 \: then \: a = 0 \: and \: b = 0[/tex]
This means we set each binomal equal to zero to find it root.
[tex]5x + 3 = 0[/tex]
[tex]5x = - 3[/tex]
[tex]x = - \frac{3}{5} [/tex]
[tex]6x + 4 = 0[/tex]
[tex]6x = - 4[/tex]
[tex]x = - \frac{2}{3} [/tex]
So our roots are negative 3/5 and negative 2/3 using zero product property
