Question

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

Answer 1

Answer:

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

Answer 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

$\sf{6 {x}^{2} + 6x - 6}$

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