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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

What is the degree of the constant polynomial \(p(x)=9\)?EasyLevel 46Which statement is correct about the degree of the zero polynomial (p(x)=0)?EasyLevel 46Which expression is not a polynomial in (x)?EasyLevel 46For the polynomial \(p(x)=x^2-5x+6\), what is the value of \(p(2)\)?EasyLevel 46What is the degree of the polynomial 3x^3 + 0x^2 - 2x + 5?EasyLevel 46Why is the expression \(2x^2+3xy+1\) not a polynomial in one variable?EasyLevel 46Which symbol is the variable in the polynomial \(p(t)=8t^2-3t+4\)?EasyLevel 46What is the coefficient of \\(x^3\\) in the polynomial \\(9x^4-2x^3+7\\)?EasyLevel 46Which of the following polynomials is a cubic polynomial?EasyLevel 46How is the polynomial \(4x^2+3x^4-x+2\) written in standard form?EasyLevel 46If \(p(x)=5x-3\), what is the value of \(p(0)\)?EasyLevel 46What is the coefficient of the \(x^4\) term in the polynomial \(x^5-4x^2+10\)?EasyLevel 46Which of the following expressions is a polynomial in the single variable \(z\)?EasyLevel 46What is the leading term of the polynomial \(p(x)=2x^3-7x^2+4x-1\)?EasyLevel 46Which statement is correct about (x^2 + 1)/2?EasyLevel 46Which of the following expressions is not a polynomial because the variable occurs in the denominator?EasyLevel 46For the polynomial \(p(x)=x^2+2x+3\), what is the value of \(p(-1)\)?EasyLevel 46What is the degree of the polynomial \\(4x^3-2x^3+x+5\\) after simplification?EasyLevel 46Which polynomial is a constant polynomial?EasyLevel 46If (p(x)=ax^2+bx+c) and (a\neq0), what type of polynomial is (p(x))?EasyLevel 46