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If the H.C.F. of two polynomials p(x) = x^2 - 5x + 6 and q(x) = x^2 - 4 is r(x), what is r(x)?

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

What is the value of k if the quadratic equation x^2 - kx + 12 = 0 has roots that are 3 and 4?

A. 7
Posted in:  Basic Operations & Factorization -  Algebra -  Mathematics

Which of the following expressions represents the intersection of the sets A = {1, 2, 3} and B = {2, 3, 4}?

B. {2, 3}
Posted in:  Basic Operations & Factorization -  Algebra -  Mathematics

What is the least common multiple (LCM) of 12 and 15?

A. 30
Posted in:  Numbers -  Arithmetic -  Mathematics

If x is a positive integer such that 3x + 7 = 40, what is the value of x?

B. 11
Posted in:  Numbers -  Arithmetic -  Mathematics