Advanced Math practice question

Answer: -32

f(x) = a(x + 2)(x − 6). f(0) = −12a = −24 gives a = 2. Then f(2) = 2(4)(−4) = −32.

Common wrong answers

If you answered 32

32 drops the sign of (2 − 6).

If you answered -16

−16 uses a = 1 and ignores f(0) = −24.

If you answered -24

−24 is f(0), not f(2).

More Advanced Math questions

• Very hard
  The function f(x) = x² + 6x + 5 is rewritten in the form f(x) = (x + a)² + b. What is the value of b?
• Very hard
  What is the solution to the equation 6/(x − 2) = 3?
• Very hard
  The polynomial p(x) = x³ − 4x has how many distinct real zeros?
• Very hard
  The polynomial p is defined by p(x) = x³ + ax² + bx − 12, where a and b are constants. If x − 2 is a factor of…
• Very hard
  The function f, defined by f(x) = 3000(1.331)^(x/12), gives the value, in dollars, of an investment x months a…
• Very hard
  In the xy-plane, the parabola y = x² − 4x + 7 and the line y = mx − 2, where m is a constant, intersect at exa…