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Question

Find the degree of given polynomial :4x31

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Solution

A polynomial is a function of the form f(x)=anxn+an1xn1+...+a2x2+a1x+a0 .
where an,an1,...a2,a1,a0 . are contants
and n is a natural number.

Let p(x)=4x31

The degree of a polynomial is the highest power of x in its expression.

Constant (non-zero) polynomials, linear polynomials, quadratics, cubics and quartics are polynomials of degree 0, 1, 2 , 3 and 4 respectively.

Highest power of x in p(x) is =3
Thus, the degree of p(x) is 3

p(x)=4x31 is a cubic polynomial.

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