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

RELATED QUESTIONS

Leading Coefficient

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsFor every real value of \(a\), which of the following expressions will always be a quadratic polynomial in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74HardMathematicsIf a, b and c are constants, under which condition is \(ax^2+bx+c\) a quadratic expression in x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsIf the coefficient of \(x^2\) in a quadratic expression becomes zero, what type of polynomial does the expression become?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74MediumMathematicsSuppose \(a, b, c\) are constants. Which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74MediumMathematicsIn the general form \(ax^2+bx+c\) of a quadratic expression, which condition on \(a\) is necessary for it to remain quadratic?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich option has a linear polynomial whose leading coefficient is non-zero?Class 9Introduction to PolynomialsLinear polynomialsLevel 33MediumMathematicsWhich option has a linear polynomial whose leading coefficient is not (0)?Class 9Introduction to PolynomialsLinear polynomialsLevel 32MediumMathematicsWhich option is a linear polynomial with leading coefficient 6 and constant term 0?Class 9Introduction to PolynomialsLinear polynomialsLevel 37EasyMathematicsWhat is the leading coefficient of the linear polynomial (14x-5)?Class 9Introduction to PolynomialsLinear polynomialsLevel 36EasyMathematicsWhich polynomial is linear and has a negative leading coefficient?Class 9Introduction to PolynomialsLinear polynomialsLevel 35EasyMathematicsWhat is the leading coefficient of the linear polynomial (9x+1)?Class 9Introduction to PolynomialsLinear polynomialsLevel 35EasyMathematicsLet the non-zero polynomials \(p(x)\) and \(q(x)\) both have degree \(n\), and suppose that \(p(x)+q(x)\) is also non-zero. Which condition is necessary and sufficient for the degree of \(p(x)+q(x)\) to be less than \(n\)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsSuppose that both polynomials \(p(x)\) and \(q(x)\) have degree \(n\). Under which condition can the degree of \(p(x)+q(x)\) be less than \(n\)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29ExpertMathematicsTwo non-zero polynomials p(x) and q(x) have the same degree. Under which condition can the degree of p(x)+q(x) be less than their common degree?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 30HardMathematicsFor which value of \(a\) will the polynomial \(P(x)=(a-3)x^5+2x^3-1\) be a cubic polynomial?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 30HardMathematicsFor the polynomial \(P(x)=(a-5)x^7-2x^5+4\) to have degree 5, what must be the value of \(a\)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29HardMathematicsIf s = 2, what is the degree of (s − 2)x⁶ + (s + 5)x³ + 9?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31MediumMathematicsWhat is the leading coefficient of (12x^4-7x+1)?Class 9Introduction to PolynomialsDefinition of a PolynomialLevel 31EasyMathematicsIf (p(x)=x^4+cx^3+dx^2+e), under what condition is its degree definitely (4)?Class 9Introduction to PolynomialsDefinition of a PolynomialLevel 28ExpertMathematicsIf \(a\neq0\) and \(p(x)=ax^7+bx^2+c\), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 28Expert