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 zero of the polynomial \(p(x)=7x-14\)?MediumLevel 46What is the zero of the polynomial p(x) = 3x + 12?MediumLevel 46If \(p(x)=ax+b\) and \(a\ne 0\), what is the zero of this linear polynomial?MediumLevel 46What is the coefficient of x in p(x) = 2x^2 + 0x + 3?EasyLevel 47In the polynomial \(p(x)=x^4+2x^2+1\), which of the following powers has its term missing?MediumLevel 46What should the powers of (x) be in a polynomial?MediumLevel 46Which of the following expressions is not a polynomial in one variable?MediumLevel 46For the polynomial \(p(x)=x^2-5x+6\), what is the value of \(p(0)\)?MediumLevel 46What is the value of \(p\left(\frac{3}{2}\right)\) for \(p(x)=4x^2-12x+9\)?MediumLevel 46What is the coefficient of x in the polynomial p(x)=2x^3+3x^2-5?MediumLevel 46What is the sum of the coefficients of (x) in (3x^2-2x+1) and (x^2+4x+7)?MediumLevel 46Which statement about p(x) = x^2 + 1 is correct?EasyLevel 47For the polynomial \(p(x)=2x^2+3\), what is the value of \(p(0)\)?EasyLevel 47Which of the following is a polynomial in \(x\) of degree 4?EasyLevel 47What is the coefficient of \(x^3\) in the polynomial \(5x^3+2x^2-x+8\)?EasyLevel 47If \(f(x)=x^2+4x\), what is the value of \(f(-4)\)?EasyLevel 47Which is the constant term in the polynomial \(12x^2-9x+4\)?EasyLevel 47What is the zero of the polynomial \(p(x)=x+9\)?EasyLevel 47How many terms are there in the polynomial \\(4x^2-6x+1\\)?EasyLevel 47If \(g(x)=3x^2-x\), what is the value of \(g(1)\)?EasyLevel 47