Mathematics
Polynomials in one variable
एक चर वाले बहुपद
In this Class 10 Mathematics topic from the chapter “Polynomials,” students study algebraic expressions involving a single variable, such as x. They learn to identify a polynomial and its degree, understand constant, linear, quadratic, and cubic forms, and find its zeroes or roots. The topic also develops understanding of the relationship between zeroes and coefficients, helping students interpret polynomial equations and solve related problems accurately.
Practice questions
If (p(x)=x²−8x+10), what are its zeroes?MediumLevel 28If p(x) = 2x² − 4√2x + 4, what is the sum of its zeroes?MediumLevel 27If the sum of zeroes is 2√5 and the product is 4, which is a monic quadratic polynomial?MediumLevel 27If √2 and √8 are zeroes of a quadratic polynomial, what is the sum of the zeroes?MediumLevel 27If p(x) = x² − 2√2x + 2, which is the correct factorized form of p(x)?MediumLevel 27Which polynomial has rational coefficients and zeroes 1 + √2 and 1 − √2?HardLevel 26Which option is the simplified form of (x^8 - 81) / (x^4 - 9), where x^4 ≠ 9?MediumLevel 44Which expression is a polynomial in one variable (x)?EasyLevel 46What is the degree of the polynomial p(x) = 4x^3 − 2x + 9?EasyLevel 46What is the constant term of the polynomial \(7x^2+5x-11\)?EasyLevel 46What is the coefficient of x^2 in 5x^4 − 3x^2 + x − 6?EasyLevel 46Which polynomial is a quadratic polynomial?EasyLevel 46Which expression is not a polynomial?EasyLevel 46For the polynomial \(p(x)=2x^2-3x+1\), what is the value of \(p(1)\)?EasyLevel 46How many terms are there in q(x) = x^3 + 2x^2 − x + 4?EasyLevel 46Which of the following is a linear polynomial in one variable?EasyLevel 46What is the leading coefficient of the polynomial \\(6x^5+x^2-4\\)?EasyLevel 46Which of the following polynomials is a monomial?EasyLevel 46Which of the following polynomials is a binomial?EasyLevel 46Which of the following polynomials is a trinomial?EasyLevel 46