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Answer :

Given:

[tex]x^2+7x+6[/tex]

Find-:

Factor the quadratic expression

Explanation-:

Factor is:

[tex]\begin{gathered} =x^2+7x+6 \\ \\ =x^2+6x+x+6 \\ \\ =x(x+6)+1(x+6) \\ \\ =(x+6)(x+1) \end{gathered}[/tex]

So, factor of quadratic function is:

[tex]=(x+6)(x+1)[/tex]