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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

For the quadratic equation 2x^2 - 8x + 6 = 0, what is the product of the roots?

A. 3
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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

If the roots of the quadratic equation x^2 + px + q = 0 are 3 and -2, what is the value of p?

C. 5
Posted in:  Quadratic Equations -  Algebra -  Mathematics

If one root of the quadratic equation x^2 + 4x + k = 0 is twice the other root, what is the value of k?

A. -8
Posted in:  Quadratic Equations -  Algebra -  Mathematics