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
How many effective terms are there in the polynomial (7x^4-3x^3+0x^2+5)?MediumLevel 48If \(p(x)=2x^2+3x-11\), what is the value of \(p(2)\)?MediumLevel 48If q(x)=x^3+2x^2-5x-6, what is the value of q(-2)?MediumLevel 48What type of polynomial is \(12x^2-7x+4\)?MediumLevel 48If \(p(x)=(a+3)x^2+5x-1\) is a linear polynomial, what is the value of \(a\)?MediumLevel 48What is the degree of the non-zero constant polynomial \(p(x)=-18\)?MediumLevel 48What is the degree of p(x) = 0x^5 + 7x^3 − 2x + 1?MediumLevel 48Which is the variable in the polynomial \(p(u)=13u^3-2u+9\)?MediumLevel 48If the coefficient of \(x\) in the polynomial \(p(x)=9x^2+cx-5\) is \(-4\), what is the value of \(c\)?MediumLevel 48If \(p(x)=x^2-16\), what is the value of \(p(4)\)?MediumLevel 48For which polynomial is x = −3 a zero?EasyLevel 48For the polynomial c(p(x)=x^2-7x+12c), what is the value of c(p(3)c)?MediumLevel 48If a linear polynomial is of the form \(mx+n\) and \(m\ne0\), what is its degree?MediumLevel 48What is the leading coefficient of (p(z)=-6z^5+4z^4-z+8)?MediumLevel 48What is the coefficient of the \(x^4\) term in the polynomial \(p(x)=8x^4-5x^3+2x-6\)?MediumLevel 48If p(x) = 4x² − 9x + 2 and q(x) = 3x² + x − 7, what is p(x) + q(x)?MediumLevel 48What is obtained when r(x) = 2x^2 + 5x − 8 is subtracted from p(x) = 6x^2 − x + 3?MediumLevel 48What is the simplified form of (-3x(2x^2-4x+5))?MediumLevel 48What is the expanded polynomial form of 8x-598x+29?MediumLevel 48Which polynomial is obtained by simplifying \\((3x+2)(x-4)\\)?MediumLevel 48