Choose the correct classification of 5x + 2x2 − 8 by number of terms and by degree.

a.third degree polynomial

b.fourth degree trinomial

c.second degree trinomial

d.sixth degree polynomial

Verified Answer :

AL2006

-- The highest power of 'x'in the expression is x², so it's a second-degree expression.

-- The expression has 3 terms ...  5x,  2x²,  and  -8  ... so it's a TRInomial.

Answer:

(C)second degree trinomial

Step-by-step explanation:

The given expression is:

\(5x+2x^2-8\)

Now, Degree of the expression is defined as the highest power of the variable given in the expression, thus in the given expression that is \(5x+2x^2-8\), the variable is x and the highest power of x is 2, therefore it is a second degree expression.

Also, Trinomial is an expression which consists of three terms, and also the given expression \(5x+2x^2-8\) consists of three terms that are \(5x, 2x^2 and -8\), therefore, the given expression is a second degree trinomial.