Question

Answer the questions about the following polynomial.Drop box options : quintic, quartic, quadratic, linear, cubic

Answer 1

Given: A polynomial

`-(1)/(2)x^4+8x^5-x+9`

Required: Fill in the blanks regarding polynomial.

Explanation:

The polynomial can be written in the standard form as

`8x^5-(1)/(2)x^4-x+9`

Here, the degree of polynolial is 5, so it is a quintic polynomial.

Total terms in the polynomial are 4

Constatnt term is 9

Leading term is term with highest power of variable, so leading term of this polynomial is 8x⁵.

And leading coeffecient is coefficient of leading term, that is 8 here.

Final Answer: The expression represents a quintic polynomial with 4 terms. The constant term is 9, the leading term is 8x⁵ and leading coefficient is 8.