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Which of the following equations has roots that are equal?

A. X² - 4X + 4 = 0
Posted in:  Quadratic Equations -  Algebra -  Mathematics

If the quadratic equation x² + 4x + k = 0 has roots that are real and distinct, what must be the condition on k?

B. K > 4
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If the roots of the quadratic equation ax^2 + bx + c = 0 are 2 and 3, what is the relationship between the coefficients and the roots?

C. A = 1, B = -5, C = 6
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Which of the following is a factor of the polynomial x^2 - 5x + 6?

A. X - 2
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Using the Remainder Theorem, what is the remainder when the polynomial f(x) = x^3 - 4x^2 + 6 is divided by x - 2?

B. 2
Posted in:  Basic Operations & Factorization -  Algebra -  Mathematics