Question

Urgent stuff, pls:))).Can someone give me polynomial with a degree of 3 or higher

Answer 1

A polynomial is a function that, given an input
`x`, returns as output a sum of powers of
`x`, each multiplied by some coefficient. Note that 1 is a power of
`x`, since
`x^0=1`

The degree of the polynomial is the highest exponent of
`x` appearing in the sum.

So. if you want to build a polynomial with degree 3 or higher, you have to:

1 - Choose the degree of the polynomial to be 3 or higher, for example 5.

2 - Consider all the powers of
`x`, with exponents up to 5:
`1,x,x^2,x^3,x^4,x^5`

3- Assing a coefficient to every power. We usually write
`a_n` to indicate the coefficient of
`x^n`. You can choose any number you like. So, for example, you can choose

`a_0 = 3, a_1 = 0, a_2 = -5, a_3 = 12, a_4 = -1, a_5 = 1`

4 - Multiply each power by its coefficient, and sum all the pieces:

`a_0x^0 + a_1x^1 + a_2x^2 + a_3x^3 + a_4x^4 + a_5x^5`

`3\cdot 1 + 0\cdot x^1 + (-5)\cdot x^2 + 12\cdot x^3 + (-1)\cdot x^4 + 1\cdot x^5`

`3 -5x^2 + 12x^3 -x^4 + x^5`