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Subjects

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 \(3\) is a zero of \(p(x)=kx+12\), what is the value of \(k\)?MediumLevel 47How many non-zero terms are there in the polynomial \(x^4-6x^2+9\)?MediumLevel 47If \(p(x)=x^2+ax+a\) and \(p(1)=5\), what is the value of \(a\)?MediumLevel 47If \(p(x)=x^2-9\), which of the following numbers is not a zero of \(p(x)\)?MediumLevel 47What is the leading coefficient of the polynomial \(3x^4-5x^2+2x-8\)?MediumLevel 47If \(p(x)=2x^2-7x+3\), what is the value of \(p(3)\)?MediumLevel 47If the coefficient of \(x\) in the polynomial \(x^3+2x^2+cx+5\) is 6, what is the value of \(c+5\)?MediumLevel 47Which of the following is not a constant polynomial?EasyLevel 47Which of the following statements is true for the polynomial \(p(x)=x^2+4x+4\)?MediumLevel 47If 8p(x)=5x^2-3x+29, what is the value of p(0)+p(1)9?MediumLevel 47Which option shows the correct group of terms of (x² - 5x + 6)?EasyLevel 47If a = 0 and b = -2 in p(x) = x^3 + ax^2 + bx + 1, what will the polynomial be?EasyLevel 47Which of the following is a polynomial in the variable x only, and not in the variable y?MediumLevel 47If (p(x)=4x-12), what value of (x) makes (p(x)=0)?MediumLevel 47If the degree of a non-zero constant polynomial is asked, what will be the correct answer?MediumLevel 47Which of the polynomials x^2+1, x^3+x, and 5x-2 has the least degree?MediumLevel 47If \(p(x)=x^2+x+1\), what is the value of \(p(-1)\)?MediumLevel 47Which option represents the polynomial \(6x^3+0x^2-2x+9\) in its simplified form?MediumLevel 47If \(p(x)=x^2-3x+2\), which statement about \(p(1)\) and \(p(2)\) is correct?MediumLevel 47Which of the following polynomials does not have a leading coefficient of 1?MediumLevel 47