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Find fogx Using Functional Equation Trick

❓ Question If g ( x ) = 3 x 2 + 2 x − 3 g(x)=3x^2+2x-3 f ( 0 ) = − 3 f(0)=-3 and 4 g ( f ( x ) ) = 3 x 2 − 32 x + 72 4g(f(x))=3x^2-32x+72 then …

Find Quadratic Polynomial from Sum and Product of Zeroes

❓ Question Find a quadratic polynomial, the sum and product of whose zeroes are: − 3  and  2 -3 \text{ and } 2 respectively. đź–Ľ️ Solution Image…

Quadratic Equation Parameter Questions Shortcut

❓ Concept Question How do we solve quadratic equation questions involving reciprocal of roots? đź–Ľ Concept Image ✍️ Short Concept This concep…

Quadratic Equation Roots Reciprocal Relation Trick

❓ Question If α , β \alpha,\beta  are roots of quadratic equation: λ x 2 − ( λ + 3 ) x + 3 = 0 \lambda x^2-(\lambda+3)x+3=0 and α < β \alpha&…

Quadratic Polynomial with Irrational Zeroes Explained

❓ Question Find the zeroes of the polynomial: x 2 − 3 x^2-3 and verify the relationship between the zeroes and the coefficients. đź–Ľ️ Solution I…

Zeroes and Coefficients of Quadratic Polynomial

❓ Question Find the zeroes of the quadratic polynomial: x 2 + 7 x + 10 x^2+7x+10 and verify the relationship between the zeroes and the coefficie…