Question 1.) Factor completely

Since divides all the three terms of the equation, so we take common out from the equation.

i.e.,

Now, since divides all the three terms of the equation, so we take common out from the equation.

i.e.,

Now, this cannot be factored further as is a quadratic equation and taking out discriminant of it is:

Since, the discriminant is less than zero. Therefore, the factored form of the given equation : is :

Question 2.)

Since divides all the three terms of the equation, so we take common out from the equation.

i.e.,

Now, since divides all the three terms of the equation, so we take common out from the equation.

i.e.,

Therefore, the factored form of the given equation : is :

Question 3.) What is the Greatest Common Factor of and ?

The Greatest Common Factor of two numbers is the biggest number which divides both the given numbers completely.

Now, for the expressions and :

Since, divides both the expressions completely and it is the biggest expression which divides both the expressions.

Therefore, is the Greatest Common Factor of and