The first step in the process for factoring trinomial [tex]x^2-3x-40[/tex] is to Find the sum of the factors of [tex]40[/tex] .
What is factorization ?
Factorization is the operation of resolving a quantity into factors.
We have,
[tex]x^2-3x-40[/tex]
To find the factor;
First find the sum of the factors of [tex]40[/tex], which is equals to [tex]-3[/tex],
i.e.
Factors of [tex]40[/tex] are [tex](-8)[/tex] and [tex]5[/tex], sum of which is equals to [tex]-3[/tex],
So,
[tex]x^2-8x+5x-40[/tex]
We get,
[tex]x(x-8)+5(x-8)[/tex]
⇒ [tex](x+5)(x-8)[/tex]
So, these are the factors of the given trinomial [tex]x^2-3x-40[/tex] and first step in the process for factoring is mentioned in option [tex](B)[/tex] .
Hence, we can say that the first step in the process for factoring trinomial [tex]x^2-3x-40[/tex] is to Find the sum of the factors of [tex]40[/tex] .
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