Answer:
To factorize the given equation:
[tex]8x^2-10x-3[/tex]
Since the given equation is trinomial, we can use HCF method and trinomial method.
Dots method is only for binomial, it is not used for this equation.
By HCF method,
[tex]8x^2-10x-3=0[/tex][tex]8x^2-12x+2x-3=0[/tex][tex]4x(2x-3)+1(2x-3)=0[/tex]
Taking (2x-3) as common we get,
[tex](2x-3)(4x+1)=0[/tex]
we get,
[tex]\begin{gathered} 2x-3=0;4x+1=0 \\ \end{gathered}[/tex][tex]x=\frac{3}{2};x=\frac{1}{4}[/tex]
The factors are,
[tex](2x-3)(4x+1)[/tex]
