Provide an example of a degree 2 trinomial which has a greatest common factor of 6.

2 thoughts on “Provide an example of a degree 2 trinomial which has a greatest common factor of 6.”

1. Answer:

   3x^2(4x)+3x^2(3)=3x^2(4x+3) is example.

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2. SOLUTION

   TO DETERMINE

   Provide an example of a degree 2 trinomial which has a greatest common factor of 6.

   CONCEPT TO BE IMPLEMENTED

   Polynomial :

   An algebraic expression that contains one or more terms with non-zero coefficients is called polynomial

   Trinomial :

   A trinomial is a polynomial consisting of three terms or monomials.

   Degree of a polynomial

   Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

   When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

   EVALUATION

   We have to find a trinomial of a degree 2 which has a greatest common factor of 6.

   We take x as variable

   Since it is a trinomial

   So the polynomial consisting of three terms or monomials.

   Again degree is 2

   So highest Power of x is 2

   Again greatest common factor is 6

   Hence the required trinomial is

   [tex] \sf{6 {x}^{2} + 6x – 6}[/tex]

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