For a quadratic expression to be factorized into two binomials there discriminant should be greater...
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For a quadratic expression to be factorized into two binomials there discriminant should be greater than zero. For standard quadratic equation or D = b^2 - 4acHence here for 3x^2 + kx -8D=k^2 +96The given quadratic equation is 3x^2 + kx-8On comparing it with general quadratic equation ax^2 + bx+ c we have a = b, b = k, and c = 8Discriminant D of the given quadratic equation is given byD = b^2-4ac= (k)^2 - 4(3) (-8)= (k)^2 +96D=0k^2+96= 0k^2 = -96k=1-96k=1-16 x 6k= 4?-6I
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