Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

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 \(p(x)=2x^2+bx-10\) and \(p(2)=4\), what is the value of \(b\)?MediumLevel 47Which option correctly describes the type of the polynomial \(x^3-1\)?MediumLevel 47If the constant term of the polynomial \(p(x)=x^2+5x+c\) is \(-6\), what is the value of \(p(0)\)?MediumLevel 47Which of the following expressions is a polynomial in \(t\)?MediumLevel 47If \\(p(x)=x^2-2x+3\\), what is the value of \\(p(2)+p(-1)\\)?MediumLevel 47If \(a\ne 0\), which statement is correct about \(ax+b\)?MediumLevel 47In the polynomial \\(2x^4+3x^2-5x+7\\), what is the sum of the coefficient of \\(x^3\\) and the coefficient of \\(x\\)?MediumLevel 47If \(p(x)=3x^2+2x-1\), what is the value of \(p\left(\frac{1}{3}\right)\)?MediumLevel 47Which option correctly writes the polynomial \\(8-3x+2x^2\\) in descending powers of x?MediumLevel 47Which of the following expressions is a polynomial in the single variable x?MediumLevel 47Which of the following statements about the zero polynomial is correct?MediumLevel 47If \(p(x)=x^3-2x^2+x\), what is the value of \(p(1)\)?MediumLevel 47If \(p(x)=2x^2+3x+4\), what is the value of \(p(-1)-p(0)\)?MediumLevel 47Which statement is correct about (x^2+\sqrt{5}x-7)?MediumLevel 47If the polynomial \(p(x)=x^2-ax+12\) satisfies \(p(3)=0\), what is the value of \(a\)?MediumLevel 47Which option correctly gives the degree and constant term of 2x^3 − 5x^2 + x − 4?MediumLevel 47What is the degree of the polynomial (p(x)=11x^6-4x^3+x-9)?MediumLevel 48If p(x) = 5x³ − 8x² + 13x − 21, what is the coefficient of x² in p(x)?MediumLevel 48What is the constant term of the polynomial \(p(t)=4t^5-6t^2+t+15\)?MediumLevel 48Which of the following is not a polynomial in (y)?MediumLevel 48