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Algebra

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

MathematicsWhich of the following expressions is a polynomial of degree 4 in the variable \(x\)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 30Hard MathematicsIf (q(x)=(k-4)^2x^8+(k-4)x^5+3x) and (k=4), what is the degree of (q(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 30Hard MathematicsFor which value will ((u^2-25)x^9+(u-5)x^4+3) have degree (0)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsIf a non-zero polynomial \(p(x)\) has degree 4, which of the following statements must be true?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsIf the degree of ((r-2)x^7+(r-2)x^3+8) is (0), what is the value of (r)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsWhich of the following expressions is a quadratic polynomial in the variable x?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsA student claims that the polynomial \(ax^5+3x^4-2\) has degree 5 for every real value of \(a\). For which value is this claim incorrect?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsFor 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 29Hard MathematicsIf (h(x)=(x^2+x)^2-x^4-2x^3), what is the degree of (h(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsIf (p(x)=x^2(x^2-1)-x^4+x^2+5), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsIf (g(x)=0), what is the degree of (g(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsWhich of the following statements about the degree of the zero polynomial is correct?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsIf (a=1), what will be the degree of ((a-1)x^{10}+7x^4-8)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsWhich of the following expressions is a constant polynomial?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsA student says that the degree of the polynomial \(7-3x^4+0x^6\) is 6. Which statement corrects the student's error?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsIf the degree of (3x^m+4x^6-1) is (6) and (m<6), which value of (m) is possible?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsIf (q(x)=(k^2-9)x^6+(k-3)x^4+2x^2) and (k=3), what is the degree of (q(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsWhich of the following expressions is a polynomial of degree three in \(x\)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31Medium MathematicsA student says that the degree of the polynomial \(7-3x^4+x^2\) is 2 because \(x^2\) is the last term. What is the error in the student's statement?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31Medium MathematicsIf \(v\neq5\), what is the degree of \((v-5)x^8+x^4+1\)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31Medium