Hello, if [tex]x_1[/tex] and [tex]x_2[/tex] are two zeroes, we can write
[tex]x^2-17x+30=(x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1\cdot x_2[/tex]
It means that the coefficients in x must be equal, meaning
[tex]x_1+x_2=17=2+15[/tex]
and the constant terms must be equal, meaning
[tex]x_1\cdot x_2=30 = 2 * 15[/tex]
So the zeroes are 2 and 15.
[tex]x^2-17x+30=x^2-15x-2x+30\\\\=x(x-15)-2(x-15)\\\\\boxed{=(x-2)(x-15)}[/tex]
Thank you
