Question

p(x)=x²–x³+x+1,Identify the type of the given polynomials : (on base of power)

Answer 1

A polynomial in which highest power

of the variable is 3 is called cubic

Polynomial.

It is clear that the given polynomial

p(x) has highest power 3.

Hence

P(x) is a cubic polynomial in x.

Answer 2

Hi ,

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We know that ,

The degree of a polynomial is the

highest degree of it's variable term.

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Here ,

Given p( x ) = x² - x³ + x + 1

degree of x² = 2 ,

degree of - x³ = 3 ,

degree of x = 1

degree 1 = 0

Therefore ,

highest degree = 3

p( x ) degree is 3 .

p( x ) is a Cubic Polynomial.

I hope this helps you.

: )