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If the roots of the quadratic equation ax^2 + bx + c = 0 are 3 and 4, what is the value of c in terms of a?

A. 12A
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For the quadratic equation 2x² - 4x + k = 0 to have real roots, what must be the minimum value of k?

B. 2
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For the quadratic equation 2x² + 4x + k = 0 to have real roots, what must be the condition on k?

C. K ? 8
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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?

D. 4
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If the roots of the quadratic equation x² - 5x + k = 0 are real and equal, what is the value of k?

A. 6.25
Posted in:  Quadratic Equations -  Algebra -  Mathematics