Question

If the degree of an algebraic expression be n, then what will be the number of roots of the equation ?​

Answer 1

Given : the degree of an algebraic expression is  n

To Find : number of roots of the equation

Solution:

degree of a polynomial specifies number of roots an equation can have.

The number of roots of an equation is equal to its degree.

Degree of a polynomial is the highest power of variable in the polynomial

degree of an algebraic expression be n,

=>  number of roots of the equation = n

If the degree of an algebraic expression be n, then what will be the number of roots of the equation be also n

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Answer 2

SOLUTION

GIVEN

The degree of an algebraic expression is n

TO DETERMINE

The number of roots of the equation

EVALUATION

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

DEGREE OF A POLYNOMIAL

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

Since degree of an algebraic expression is n

So the equation has n roots

Hence number of roots of the equation = n

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