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Choose the correct classification of 3x4 − 9x3 − 3x2 + 6.

5th degree polynomial

4th degree polynomial

9th degree polynomial

24th degree polynomial

2 Answers

4 votes
the degree is the power of the highest powered placeholder
it is 3x^4
4th degree
User Yyunikov
by
8.0k points
7 votes

Answer:

Option (b) is correct.

Given polynomial
3x^4-9x^3-3x^2+6 is 4th degree polynomial.

Explanation:

Given polynomial
3x^4-9x^3-3x^2+6

We have to choose the correct classification of given polynomial out of given option .

Degree of polynomial is the highest degree of polynomial having non zero coefficient.

5th degree polynomial is the polynomial having highest degree of variable is 5 with non zero coefficient.

4th degree polynomial is the polynomial having highest degree of variable is 4 with non zero coefficient.

9th degree polynomial is the polynomial having highest degree of variable is 9 with non zero coefficient.

24th degree polynomial is the polynomial having highest degree of variable is 24 with non zero coefficient.

Thus, for the given polynomial
3x^4-9x^3-3x^2+6 the highest degree is 3 of term
3x^4 with non zero coefficient 3.

Thus, Given polynomial
3x^4-9x^3-3x^2+6 is 4th degree polynomial.

Option (b) is correct.

User Jero Toryaki
by
8.7k points