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Select the correct answer.
What is the degree of the polyromial tunction
(x)=2x^(2)+7x^(3)-4x-12.
4. 3
6. 5
C. 2
D 13

Select the correct answer. $\newline$ What is the degree of the polyromial tunction $(x)=2 x^{2}+7 x^{3}-4 x-12$ . $\newline$ $4$ . $3$ $\newline$ $6$ . $5$ $\newline$ C. $2$ $\newline$ D $13$

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Complete the square

Full solution

Q. Select the correct answer.

\newline

What is the degree of the polyromial tunction

(x)=2 x^{2}+7 x^{3}-4 x-12

.

\newline

4

.

3

\newline

6

.

5

\newline

C.

2

\newline

D

13

Identify highest power: Identify the highest power of $x$ in the polynomial function $f(x) = 2x^2 + 7x^3 - 4x - 12$ .
Terms of the polynomial: The terms of the polynomial are $2x^2$ , $7x^3$ , $-4x$ , and $-12$ . The term with the highest power of $x$ is $7x^3$ .
Degree of the polynomial: The degree of a polynomial is the highest power of the variable $x$ that appears in the polynomial. Therefore, the degree of the polynomial $f(x) = 2x^2 + 7x^3 - 4x - 12$ is $3$ .
Select correct answer: Select the correct answer from the given options based on the degree of the polynomial. $\newline$ A. $4$ $\newline$ B. $5$ $\newline$ C. $2$ $\newline$ D. $13$ $\newline$ The correct answer is $3$ , which corresponds to option A.

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