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 is a polynomial with two terms?EasyLevel 47What is the coefficient of \(x\) in the polynomial \(6x^2-x+13\)?EasyLevel 47What is the degree of the polynomial \\(x^5+1\\)?EasyLevel 47Which of the following is a polynomial in (y)?EasyLevel 47If \(r(x)=4x^2\), what is \(r\left(\frac{1}{2}\right)\)?EasyLevel 47How many terms are there in the polynomial \(7x^2+5\)?EasyLevel 47If \(a\neq 0\), what type of polynomial is \(ax^2+bx+c\)?EasyLevel 47Which of the following is a polynomial in one variable?MediumLevel 46What is the degree of the polynomial \(p(x)=4x^5-3x^2+9\)?MediumLevel 46What is the coefficient of \(x^2\) in the polynomial \(7x^3+2x^2-x+6\)?MediumLevel 46Which is the constant term in the polynomial \(5x^4-8x+11\)?MediumLevel 46How many terms are there in the polynomial \(p(x)=2x^3-5x^2+4x-1\)?MediumLevel 46If \(p(x)=3x^2-2x+5\), what is the value of \(p(2)\)?MediumLevel 46If \(q(x)=x^3-4x^2+x+6\), what is the value of \(q(-1)\)?MediumLevel 46The polynomial \\(8x^2-3x+1\\) has three terms. What type of polynomial is it?MediumLevel 46When will p(x) = ax^2 + bx + c be a quadratic polynomial?EasyLevel 47What is the polynomial \(p(x)=0\) called?MediumLevel 46What is the degree of the non-zero constant polynomial \(p(x)=12\)?MediumLevel 46What is the degree of (3x^4+0x^3-2x+5)?MediumLevel 46Which of the following expressions is a polynomial in one variable?MediumLevel 46