Advanced Math practice question

Answer: A. (x − 2)(2x + 2)

Both terms share (x − 2): (x − 2)[3x − (x − 2)] = (x − 2)(3x − x + 2) = (x − 2)(2x + 2).

Why the other answers are wrong

B. (x − 2)(2x − 2)

(2x − 2) forgets to distribute the minus sign to the −2 inside (x − 2).

C. (x − 2)(4x − 2)

(4x − 2) adds x instead of subtracting it: 3x + (x − 2).

D. 2x² − 4

2x² − 4 drops the middle term; expanding gives 2x² − 2x − 4.

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…