Mathematics
Definition of a Polynomial
बहुपद की परिभाषा
In Class 9 Mathematics, under Introduction to Polynomials, Definition of a Polynomial explains expressions in which variables have only non-negative integer powers. Students learn to distinguish polynomials from expressions containing negative, fractional, or other invalid exponents, identify constant and zero polynomials, and recognise polynomials by their highest power and basic type.
Practice questions
Which expression is a binomial polynomial in (x)?Which expression is a trinomial polynomial in (x)?Is (\pi x^2-5x+1) a polynomial in (x)?Why is (x^2+\frac{1}{\sqrt{x}}) not a polynomial?What is the simplified form of (8x^3+0x^2-6)?What is the coefficient of (x^2) in (2x^4-3x+5)?Which expression is a polynomial written in standard form?Is \(x^2+\frac{x}{3}-4\) a polynomial or not?Which expression is not a polynomial in (y)?What is the degree of (8x^6-3x^4+x-10)?Which statement is correct for (p(x)=0)?In which expression is the coefficient irrational but the expression is still a polynomial?Which expression is a quadratic polynomial in (x)?What will be the degree of (3x^5+0x^7-2x+4)?Which expression is not a polynomial because the variable has a fractional power?Which polynomial is a cubic polynomial?What type of polynomial is (12) considered?Which expression is not a polynomial because (x) is in the denominator?In (p(t)=2t^4-7t^2+3), which term determines the degree?Which expression is a polynomial in (z)?