Find the expanded form of a quadratic from its roots Algebra I

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Course : Polynomials
Exercise : Find the roots of a factored polynomial
Exercise : Find the roots of a quadratic function using the discriminant
Exercise : Find the roots of a polynomial with integer coefficients using the rational root theorem
Exercise : Apply the complex conjugate theorem to find another root
Exercise : Find the expression of a polynomial knowing its roots and its degree
Exercise : Use the Pascal's triangle and the binomial theorem to develop an expression of the form (a+b)ⁿ