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Algebraic Simplification

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

MathematicsIf (p(x)=x^7(x^2-8)-x^9+8x^7+43), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31Expert MathematicsAfter simplifying (7x^9(x^2-1)-7x^{11}+6x^8), what is the degree?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31Expert MathematicsIf (p(x)=x^6(x^3+x)-x^9-x^7+41), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 30Expert MathematicsA student says that the polynomial \(R(x)=3x^4-2x^3+x^2+5x^4+2x^3-8x^4\) has degree 4 because an \(x^4\) term is visible in it. Which is the correct evaluation of the student's statement?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 30Expert MathematicsWhat is the degree of ((x^8+x^5+1)-(x^8+x^5))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 30Expert MathematicsIf (f(x)=6x^9-11x^9+5x^9+4x^5-13), what is the degree of (f(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 30Expert MathematicsIf (p(x)=(x^7-5x^4+2)-(x^7-2x^4)), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsAfter simplifying (5x^7(x^2-1)-5x^9+2x^6), what is the degree?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsA student says that the polynomial \(P(x)=(x^4-3x^2+1)-(x^4+2x^2-5)\) has degree 4 because an \(x^4\) term is visible. What is the correct evaluation of the student's claim?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsWhat is the degree of ((x^6+x^3+1)-(x^6+x^3))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 32Hard MathematicsIf (f(x)=3x^7-8x^7+5x^7+2x^3-11), what is the degree of (f(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 32Hard MathematicsAfter simplifying (x^5(x^4-3)-x^9+4x^7-2), what is the degree?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 32Hard MathematicsIf (p(x)=x^3(x^2+x)-x^5-x^4+15), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 30Hard MathematicsIf (p(x)=x^2(x^3+x)-x^5-x^3+6), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsWhat is the degree of ((x^4+x^2+1)-(x^4+x^2))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsAfter simplifying (2x^4(x^3-1)-2x^7+9x^5), what is the degree?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Hard MathematicsAfter simplifying (x^4(x^2+3)-x^6+5x^3), what is the degree?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31Medium MathematicsAfter simplifying (x^2(x^3+1)-x^5+4x), what is the degree?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Medium MathematicsWhich polynomial is obtained by simplifying \(x^2+\frac{x^2-1}{x-1}\) for \(x\neq1\)?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 27Medium MathematicsWhat is the simplified form of (6x^3+0x^2-5)?Class 9Introduction to PolynomialsDefinition of a PolynomialLevel 31Easy