1) You need to remember what is the form of reciprocal equation if the polynomial is of fourth order:

`ax^4 + bx^3 + cx^2 + bx + a = 0`

Notice that the free term needs to be equal to the coefficient of `x^4` , hence `k - 3` needs to be equal to 2 such that:

`k-3 = 2 =gt k = 2+3 =gt k = 5`

Notice that the coefficient of `x^3` needs to be equal to the coefficient of x, hence `h - 2` needs to be equal to 1 such that:

`h - 2 = 1 =gt h = 3`

**Hence, for `k = 5 ` and `h = 3` , the reciprocal equation is `2x^4 + x^3 - 5x^2 + x + 2 = 0.` **

2) **You need to remember that a biquadratic equation does no have odd powers, hence the given equation can not be a biquadratic, because it contains the term x.**

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now