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Quadratic Trinomials

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 cannot be factorised as a product of two binomials when both binomials have integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Expert MathematicsWhich of the following quadratic trinomials cannot be expressed as a product of two linear factors with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Expert MathematicsWhich of the following trinomials cannot be factorised into a product of two linear binomials with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Expert MathematicsA student claims that \(6x^2-x-2=(3x+2)(2x-1)\). Which is the correct factorisation of \(6x^2-x-2\) that corrects the student's error?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhich of the following quadratic trinomials can be written as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsSuppose \(x^2+px+q\) can be factorised over integers as \((x+m)(x+n)\). If \(q<0\) and \(p>0\), which statement about \(m\) and \(n\) must be true?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following quadratic trinomials can be factorised as a product of two linear binomials with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following quadratic trinomials factorises into two binomials whose constant terms have opposite signs?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following quadratic trinomials cannot be factorised into two linear factors with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsIf the trinomial \(x^2+mx+n\) is factorised as \((x+p)(x+q)\), which relation between \(p\) and \(q\) is correct?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following quadratic trinomials cannot be factorised into two linear binomials with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsThe area of a rectangular garden is \(6x^2+19x+10\) square units. Which of the following pairs can represent its possible length and breadth?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhat are the factors of \(t^2+t-6\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 75Easy MathematicsArea tiles show \(t^2+7t+12\). Which rectangle sides are correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 69Medium MathematicsA tile arrangement \(x^2+15x+54\) forms a rectangle. Which constant strips make this arrangement possible?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Expert MathematicsThe area model \(v^2+13v+36\) must be changed into a rectangle. Which sides are correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Medium