Question

The legendre polynomial p0(x) of degree zero is...

Answer 1

Step-by-step explanation:

A polynomial is an expression formed using variables, constants and mathematical operations.Let x be a variable, n be a positive integer and a 0, a 1, a 2,…, a n be constants (real numbers).

Then, p(x) = a 0 + a 1 x + a 2 x 2+ …. + anx n is known as a polynomial in variable x. Its degree is n.

The polynomial whose coefficients are all equal to 0 is called a zero polynomial. The zero polynomial has a constant value 0. For a zero polynomial, the values of the coefficients a 0 = a 1 = a 2 =…= a n = 0.

∴ p(x) = 0 is a zero polynomial.

The degree of a zero polynomial is not defined.

Answer 2

$x$$x$Answer:

The degree of zero polynomial is not defined.

Step-by-step explanation:

A polynomial is an expression formed using variables, constants and mathematical operations.

The polynomial is,

$P(x) = ax^m + bx^n$

here,

$x$ is the variable

$a$ and $b$ is the constant

$m$ and $n$ are the power of $x$

we know that, all the constant of zero polynomial is equal to 0.

∴ $a=0$ and $b=0$

∴ $0$×$x^m=0$ and $0$×$x^n=0$

∴ $m$ and $n$ is not defined

and we know that the highest power of the given polynomial is called degree of the polynomial.

∴ The degree of zero polynomial is not defined.