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Polynomials

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

MathematicsA student says that the degree of the polynomial \(R(x)=(3x^6-2x^4)+(5x^4-3x^6)+7x^2\) is 6 because an \(x^6\) term is visible in it. What is the correct evaluation of the statement?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsIf (A(x)=x^8+7) and (B(x)=-x^8+9x^5), what is the degree of (A(x)+B(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsIf (A(x)=x^9+5x^4+11) and (B(x)=x^9+5x^4), what is the degree of (A(x)-B(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsWhat is the degree of ((x^7+x^4+1)-(x^7+x^4))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsWhich option has a polynomial of total degree (9)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsSuppose 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 29Expert MathematicsIf (p(x)=0x^9+0x^7+0x^3+0), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsWhat is the degree of (x^7(x^2+1)-x^2(x^7-6))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert 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 MathematicsFor two non-zero polynomials \(p(x)\) and \(q(x)\), which of the following statements is always true?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsWhat is the degree of ((x^6-1)(x^6+1))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsA student claims that the degree of a polynomial is always equal to its number of terms. Which of the following examples disproves this claim?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsWhat is the degree of ((x^5+2x^2)(x^6-x^3)-x^{11})?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsIf (p(x)=x^5(x^2-6)-x^7+6x^5+29), 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 MathematicsIf \(p(x)\) and \(q(x)\) are non-zero polynomials, which statement about their degrees is always true?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsIf (b=-4), what will be the degree of ((b+4)x^{14}+8x^5-1)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert MathematicsWhich of the following statements about the degree of polynomials is correct?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 MathematicsIf the degree of (6x^m+3x^9+5) is (9) and (m<9), which value of (m) is possible?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 29Expert