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 leading coefficient of the polynomial \(2x^2-7x+1\)?EasyLevel 48What is the coefficient of (x^2) in (4x^3+x+2)?EasyLevel 48Which polynomial is in one variable (x)?EasyLevel 48What is the degree of 11x⁵ − 3x² + 8?EasyLevel 48What is the value of the polynomial \(x^3-1\) when \(x=1\)?EasyLevel 48If \(p(x)=x^2+x\), what is the value of \(p(-1)\)?EasyLevel 48If (p(x)=2x^2-8), what is the value of (p(2))?EasyLevel 48How many terms are there in the polynomial (x^2-5x+6)?EasyLevel 48Which is a constant polynomial?EasyLevel 48If the polynomial \(p(x)=ax+b\) has \(a\ne0\), what is its degree?EasyLevel 48In p(x) = ax² + bx + c, if a ≠ 0, what type of polynomial is it?EasyLevel 48What is the leading term of the polynomial p(x)=x^3+2x^2+x?EasyLevel 48What conclusion follows when \(x=2\) is substituted in the polynomial \(p(x)=4x-8\)?EasyLevel 48In which of the following options is the given power of \(x\) acceptable for a polynomial?EasyLevel 48When \(x=0\) is substituted in the polynomial \(3x^2+2x+1\), which term remains?EasyLevel 48If a polynomial has degree 1, what is it called?EasyLevel 48What is a polynomial of degree 2 called?EasyLevel 48What is a polynomial called if its degree is 3?EasyLevel 48In the polynomial \\(2x^2+3x+4\\), what are the coefficient of \\(x\\) and the constant term, respectively?EasyLevel 48If p(x)=x^2-1 , what is the value of p(-1) ?EasyLevel 48