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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

What is the value of \(p(-1)\) for the polynomial \(p(x)=x^3-4x^2+x+6\)?MediumLevel 48If \(p(x)=x^2+kx-15\) and \(p(3)=0\), what is the value of \(k\)?MediumLevel 48If \(p(x)=x^2-ax+18\) and \(p(3)=0\), what is the value of \(a\)?MediumLevel 48For which value of \(m\) will \(2\) be a zero of the polynomial \(x^2-6x+m\)?MediumLevel 48What conclusion follows when x=1 is substituted in the polynomial p(x)=3x²−10x+7?MediumLevel 48If \(p(x)=x^2+6x+9\), what is the value of \(p(-3)\)?MediumLevel 48Which of the following is a polynomial in one variable but not a linear polynomial?MediumLevel 48If p(x)=9x-27 , what is the zero of this polynomial?MediumLevel 48What is the zero of the polynomial \(p(x)=4x+20\)?MediumLevel 48If \\(p(x)=cx+d\\) is a linear polynomial and \\(c\ne0\\), what is its zero?MediumLevel 48What is the coefficient of (x^2) in (p(x)=5x^3+0x^2-4x+12)?MediumLevel 48Which of the following powers has a missing term in the polynomial \(p(x)=x^5+3x^3-2\)?MediumLevel 48What should the powers of the variable be in a polynomial in one variable?MediumLevel 48For the polynomial \(p(x)=x^2-8x+13\), what is the value of \(p(0)\)?MediumLevel 48What is the value of \(p\left(\frac{2}{3}\right)\) for \(p(x)=9x^2-12x+4\)?MediumLevel 48If \(p(x)=7x^4-2x^2+9\), what is the coefficient of \(x^3\) in \(p(x)\)?MediumLevel 48What is the sum of the coefficients of (x) in (5x^2-6x+2) and (2x^2+9x-1)?MediumLevel 48Which statement about (p(x)=x^3+1) is correct?MediumLevel 48If \(p(x)=ax^3+bx^2+cx+d\) and \(p(0)=-7\), what is the value of \(d\)?MediumLevel 47If the degree of (p(x)=(k-4)x^4+3x^2-5x+2) is (2), what will be the value of (k)?MediumLevel 48