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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 \(p(x)=2x^2+x-6\), what is the value of \(2p(1)-p(-2)\)?ExpertLevel 48If \(f(x)=x^2+px+q\) satisfies \(f(1)=0\) and \(f(2)=0\), what is the value of \(p+q\)?ExpertLevel 48If the zeroes of (p(x)=x^2-ax+b) are (a) and (b), which relation is correct?ExpertLevel 48If \(p(x)=x^3-1\), which of the following is a linear factor of the polynomial?ExpertLevel 48If \(p(x)=x^2-8x+16\), what is the value of \(p(4+t)\)?ExpertLevel 48If (p(x)=x^2-4x+6), what is the value of (p(x+1)-p(x))?ExpertLevel 48