Question

Factorize the equations using the HCF method ,DOTS method , Trinomial method based on the equation

Answer 1

To factorize the given equation:

`8x^2-10x-3`

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,

`8x^2-10x-3=0`
`8x^2-12x+2x-3=0`
`4x(2x-3)+1(2x-3)=0`

Taking (2x-3) as common we get,

`(2x-3)(4x+1)=0`

we get,

`\begin{gathered} 2x-3=0;4x+1=0 \\ \end{gathered}`
`x=(3)/(2);x=(1)/(4)`

The factors are,

`(2x-3)(4x+1)`