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

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

B. 5A

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

C. K ? 8
Posted in:  Quadratic Equations -  Algebra -  Mathematics

A can do a work in 30 days, B can do it in 45 days, and C can do it in 60 days. If they work together, how long will it take them to complete the work?

B. 12 DAYS
Posted in:  Time & Work -  Aptitude -  Mathematics

What is the sum of the roots of the quadratic equation x² - 5x + 6 = 0?

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