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Subjects

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

Which of the following polynomials is written in standard form?EasyLevel 48Which of the following terms is missing from the polynomial \(x^4+3x^2+x+2\)?EasyLevel 48What is the constant term in p(x) = 7x²?EasyLevel 48If \(p(x)=x^2+4x+4\), what is the value of \(p(-2)\)?EasyLevel 48A student says the degree of (x^2+2x+1) is (3) because it has (3) terms. What is the correct degree?EasyLevel 48If (p(x)=2x^3-5x+9), what is the coefficient of (x^2)?EasyLevel 48For the polynomial \(p(x)=x^2+3x+2\), what is the value of \(p(1)\)?EasyLevel 48What is the degree of the polynomial \(7x^3-4x+9\)?EasyLevel 47What is the coefficient of \\(x^2\\) in the polynomial \\(5x^2-8x+6\\)?EasyLevel 47Which is the constant term of the polynomial \(2x^2+3x-11\)?EasyLevel 47How many terms are there in the polynomial \(4x^3+x^2-7x+1\)?EasyLevel 47What type of polynomial is (9)?EasyLevel 47A student says that \(p(x)=7x^2-3x+5\) is a linear polynomial because it also contains an \(x\)-term. What is the student’s error?EasyLevel 47For the polynomial in one variable \(5x^3-2x+7\), Riya says that its degree is 3. What is the correct evaluation of Riya’s statement?EasyLevel 47Is (2x^2+\frac{3}{x}+1) a polynomial in (x)?EasyLevel 47For the polynomial (p(x)=x^2+2x+1), what is the value of (p(1))?EasyLevel 47If p(x) = 3x - 5, what is the value of p(2)?EasyLevel 47If \(q(x)=x^3-x\), what is the value of \(q(0)\)?EasyLevel 47What is the degree of 6x⁴ − 2x² + x − 8?EasyLevel 47What is the coefficient of x in the polynomial x² − 7x?EasyLevel 47