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← Back to Introduction to Polynomials

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 not a polynomial in (x) because it has a fractional power?In which option are the polynomial and its degree both correct?If (q(x)=(c+5)x^3+(c-2)x^2+4x-1) must have degree (2), what condition is needed?Which statement is correct about \(x^2+\frac{x}{2}+9\)?If (p(x)=(a^2-9)x^4+2x+1) is a linear polynomial, which values of (a) are possible?Which expression is a polynomial in (u) but not considered a polynomial in (x) if (x) is in the denominator?Which is the correct identification of (p(x)=7x^3-4x^2+0x^5+11)?Which statement is correct about (x^0+x^{-1}+2)?If (p(x)=kx^2+3x+4) has degree (1), what should be the value of (k)?Which expression is not a polynomial because it contains (\frac{1}{x^4})?Which expression is a polynomial with real coefficients and an irrational constant term?Which expression is a polynomial but does not contain all consecutive powers?What is the degree of (p(x)=0x^3+0x^2+0x+6)?Which option states the definition of a polynomial most correctly?If (p(x)=(s-2)x^3+(s+1)x^2+5) is a non-zero constant polynomial, what is possible?Which expression is a polynomial in (x) but has only even powers of (x)?If (p(x)=\lambda x^2+4x-3) has degree (2), what is the correct condition for (\lambda)?Which of the following expressions is an example of a polynomial in one variable?How many terms and what degree does (p(x)=x^4-2x^3+3x^2-4x+5) have?Which expression is a quadratic polynomial in (x) but not a trinomial?