Question

A polynomial of degree $5$ in $x$ has at most.

• A. $5$ term
• B. $4$ term
• C. $6$ term
• D. $10$ term

Answer 1

The correct option is C

$6$ term

Explanation for the correct answer:

Finding number of terms in 5 degree polynomial

A Polynomial of degree $5$ is given by,

$f\left(x\right)=a_0{x}^5+a_1{x}^4+a_2{x}^3+a_3{x}^2+a_{4}x+a_5$

Where $a_0,a_1,a_2,a_3,a_4,a_5$are real constant.

Clearly, the maximum terms in this polynomial are $6$ and also minimum term can be one $a_0{x}^5$.

Therefore, a polynomial of degree $5$ in $x$ has at most $6$ terms.

Hence, the correct option is (C)