3.What are the two binomial factors for g^2+8g+12 ? g^2+8g+12=( )( )

<br /><br />To factorize the quadratic expression $g^{2}+8g+12$, we need to find two numbers that multiply to 12 (the constant term) and add up to 8 (the coefficient of the linear term).<br /><br />The two numbers that satisfy these conditions are 2 and 6. Therefore, the quadratic expression can be factored as:<br /><br />\[g^{2}+8g+12=(g+2)(g+6)\]<br /><br />So, the two binomial factors for $g^{2}+8g+12$ are $(g+2)$ and $(g+6)$.