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.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752