Respuesta :

Given:

[tex]3x^2+20x+33[/tex]

Find-:

Factorization of the equation.

Sol:

A simple method of factorization is to multiply in first and last order then break it down into parts to make the middle number then.

[tex]\begin{gathered} =3\times33 \\ =99 \end{gathered}[/tex]

The factor of 99 is:

So take factor :

[tex]\begin{gathered} 11\text{ and \lparen3}\times3) \\ \\ 11\text{ and 9} \end{gathered}[/tex]

Factorization of the equation is:

[tex]\begin{gathered} =3x^2+20x+33 \\ \\ =3x^2+11x+9x+33 \end{gathered}[/tex]

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