Which of the following statements correctly describes the expression below based on its degree and number of terms?

3x^4 - 7x^2 + 11

the expression has four terms and a degree of 6.

the expression is a trinomial with a degree of 6.

the expression is a trinomial with a degree of 4.

the expression has four terms and a degree of 4.

ANSWER

The expression is a trinomial with a degree of 4.

EXPLANATION

A simplified polynomial with three terms is called a trinomial.

The given polynomial is

This is in the simplest form and has three terms.

The polynomial is also in standard form.

Thus the terms are in descending powers of x.

The exponent of the first term is 4.

This is called the degree of the polynomial.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )