Polynomial Equation and Quadratic Equation

Roots and coefficients relations, nature of roots, common roots, theory of equations up to degree 4.

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Q1 · Polynomial Equation and Quadratic Equation · HARD
If α and β are roots of x² - px + q = 0, then the equation whose roots are α² and β² is:
Q2 · Polynomial Equation and Quadratic Equation · MEDIUM
If one root of the equation x² + px + 12 = 0 is 4, then the value of p is:
Q3 · Polynomial Equation and Quadratic Equation · EASY
The roots of the quadratic equation x² - 5x + 6 = 0 are: