Question

x 2 -2x+1 is a polynomial in: a. One Variable b. Two Variables c. Three variable d. None of the above​

Answer 1

Answer:

given polynomial is a quadratic polynomial in one variable

the degree is 2

the variable is x

Answer 2

OPTION (a) IS CORRECT.

a. ONE VARIABLE.

Explanation:

• A polynomial is a type of algebraic expression which contains variables and constant terms.
• A polynomial can be defined according to the number of terms present - 1 term=monomial. 2 terms=binomial. 3 terms=trinomial.
• It can also be defined as the number of variables present. If it has one variable, it is called polynomial in one variable, if it has 2 variables, it is called polynomial in two variables.
• The degree of polynomial also helps in characterizing them. If they have a degree 1 they are called linear, if they have 2 degree, they are called quadratic and cubic if they have a degree 3.
• The given polynomial $x^{2} -2x+1$ is a polynomial in one variable as it has only 1 variable that is 'x'. It is a quadratic polynomial in one variable.