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Degree Of Polynomial

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

MathematicsIf \(T(x)=x^3(x^5-2x^3+1)-x^8+2x^6+5x\), what is the degree of \(T(x)\)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsWhat is the degree of \((x^3+x^2+1)(x^6-x^5+x^4)-x^9\)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf (F(x)=3x^{11}-3x^{11}+4x^7-4x^7+5x^2-1), what is the degree of (F(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsFor which value will \((u^2-49)x^{10}+(u-7)x^4+5\) have degree 0?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf the degree of (p(x)) is (4) and the degree of (q(x)) is (6), what will generally be the degree of (p(x)q(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf the degree of ((r-7)x^8+(r-7)x^3+18) is (0), what is the value of (r)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsWhat is the degree of (x^5(x-2)^2)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf (p(x)=x^4(x^3+x)-x^7-x^5+31), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf (a=5) and (b=9) in (4x^a+3x^b+1), what is the degree?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf (A(x)=x^6+9) and (B(x)=-x^6+4x^2), what is the degree of (A(x)+B(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf (A(x)=x^7+2x^3+5) and (B(x)=x^7+2x^3), what is the degree of (A(x)-B(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf \(t\ne0\), what is the degree of \(tx^{13}+0x^{15}+6x^4-8\)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31MediumMathematicsIf \(p(x)\) and \(q(x)\) are two non-zero polynomials, which statement about the degree of their product is always true?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf (p(x)=0x^{12}+0x^6+0x^3+0), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsWhat is the degree of (x^5(x^3+1)-x^3(x^5-4))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsIf (p(x)=(x^6-4x^2+5)-(x^6-x^2)), what is the degree of (p(x))?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsReema says that the degree of the polynomial \((x^4-5x^2+1)(2x^3+x)-2x^7\) is 7 because she added the degrees of the factors. Considering Reema’s error, what is the correct degree of the polynomial?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsLet 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 31HardMathematicsWhat is the total degree of (x^3y^4z^5+2x^5y^2z^3-7)?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31HardMathematicsA student says that if two polynomials have degree 6, then the degree of their sum will always be 6. If \(p(x)=x^6-3x^2\) and \(q(x)=-x^6+5x\), which conclusion is correct?Class 9Introduction to PolynomialsDegree of a PolynomialLevel 31Hard