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 8p(x)=ax+b9 and a\ne0, what is the degree of p(x)?EasyLevel 46What is the coefficient of (x) in (2x^2-9)?EasyLevel 46Which of the following expressions is a polynomial in one variable with real coefficients?EasyLevel 46When the polynomial \(p(x)=3x^2+4x+5\) is written in the form \(ax^2+bx+c\), how many coefficients does it have?EasyLevel 46Which of the following polynomials has degree \(4\)?EasyLevel 46If the coefficient of x in p(x)=2x^2+kx+3 is 5, what is the value of k ?EasyLevel 46Which is the constant term of the polynomial \(p(x)=x^2+ax+4\)?EasyLevel 46If a polynomial satisfies \(p(x)=0\) for every value of \(x\), what is it called?EasyLevel 46If the polynomial is \(p(x)=x^3-1\), what is the value of \(p(1)\)?EasyLevel 46Which of the following expressions is a polynomial in \(x\)?EasyLevel 46What is the coefficient of \(x^2\) in the polynomial \(p(x)=2x^4-5x^3+x-8\)?EasyLevel 46If \(p(x)=x^2-4\), what is the value of \(p(3)\)?EasyLevel 46Which polynomial in x has degree 0?EasyLevel 46How many terms does the polynomial \(p(x)=7x^2-1\) have?EasyLevel 46Which expression is written in standard polynomial form?EasyLevel 46If \(p(x)=2x^2+3x-2\), what is the value of \(p(-2)\)?EasyLevel 46Which statement is correct for (x^2+\sqrt{3}x+1)?EasyLevel 46Which of the following is a polynomial in (x)?EasyLevel 48What is the degree of the polynomial \(7x^3-2x+9\)?EasyLevel 48What is the coefficient of \(x\) in the polynomial \(4x^2+0x+6\)?EasyLevel 48