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Which of the following statements is true of the polynomial x2 + 6x3 − 4 + 2x5?
A. The degree of the polynomial is 1.
B. The end behavior of the polynomial is similar to f(x) = –x.
C. The polynomial in standard form is 2x5 + 6x3 + x2 − 4.
D. The polynomial is increasing for all real numbers.

Respuesta :

Answer:

The correct option is;

C. The polynomial in standard form is 2·x⁵ + 6x³ + x² - 4

Step-by-step explanation:

The given polynomial is x² + 6x³ - 4 + 2·x⁵

Therefore, we have;

The highest power in the polynomial is 5, therefore, the degree of the polynomial is 5

The end behavior is f(x) → ∞ as x → ∞ and f(x) → - ∞ as x → -∞ which is not similar to f(x) = -x

The standard form is accomplished by arranging the polynomial in decreasing powers of x that is rom the biggest too lowest exponent as follows;

2·x⁵ + 6x³ + x² - 4

The polynomial decreases fox x < 0

Degree of polynomial is the highest power written in the equation

thus the correct answer is C for the question

Explanation

  • The equation is written in the form of lowest power to higher power x²+6x³-4+2[tex]x^{5}[/tex]
  • The correct form is highest to lowest power 2[tex]x^{5}[/tex]+6x³+x²-4

Thus we conclude that the answer to the above question C

To know more about degree of polynomial

https://brainly.com/question/20368118

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