Question

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

Answer 1

-- 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 2

(C)second degree trinomial

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.