Question

Four polynomials are shown below: A. 4 − 7x5 + x2 B. 5x3 + 5 − 3x4 C. 3x + 2x4 − x2 + 6 D. 3x3 − 5 + 2x5 + x Which of the above polynomials is a 4th degree trinomial? Polynomial A Polynomial B Polynomial C Polynomial D

Answer 1

B
5x^3+5-3x^4
Is 4th degree trinomial

Answer 2

Polynomial B

Explanation:

We are given 4 different polynomial. We need to choose 4th degree polynomial from given.

Degree is maximum power of x of polynomial.

Option A:
`4-7x^5+x^2`

Degree = 5, False

Number of term = 3 (Trinomial)

Option B:
`5x^3+5-3x^4`

Degree = 4

Number of term = 3 (Trinomial)

True

Option C:
`3x+2x^4+x^2+6`

Degree = 4

Number of term = 4 (Not Trinomial)

False

Option D:
`3x^3-5+2x^5`

Degree = 5

Number of term = 3 (Trinomial)

False

Hence, Polynomial B is correct whose degree 4 and number of term 3.