Advanced Math practice question

Answer: -12 or −12

(x + 5)(x − 2) = x² + 3x − 10 and (x + 1)(x + 2) = x² + 3x + 2. Their difference is −10 − 2 = −12.

Common wrong answers

If you answered 0

0 would need the constants to cancel too; only x² and 3x cancel.

If you answered 12

12 has the wrong sign (subtracting in the wrong order).

If you answered -8

−8 comes from −10 + 2, adding the second constant instead of subtracting it.

More Advanced Math questions

• Hard
  A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af…
• Hard
  How many real solutions does x² + 4x + 5 = 0 have?
• Hard
  A car worth $20,000 loses 15% of its value each year. What is its value after 2 years?
• Hard
  An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye…
• Hard
  If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))?
• Hard
  The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?