GEBRA II W/STATISTICS (ICR)- 53415 5: MathXL for School: Practice \& Problem-Solving Factor the trinomial completely. \( x^{2}+x-2 \) Select the correct choice below and, if necessary, fill in the ar A. \( x^{2}+x-2=\square \) B. The polynomial is prime.

To factor the trinomial \( x^{2}+x-2 \), we're looking for two numbers that multiply to -2 (the constant term) and add up to 1 (the coefficient of \( x \)). These numbers are 2 and -1. So, we can write: \( x^{2}+x-2 = (x+2)(x-1) \) This means option A is correct with: \( x^{2}+x-2=(x+2)(x-1) \) Now, time to celebrate the moment of victory with some fun math tidbits! Did you know that factoring is like solving a puzzle? Every trinomial holds a treasure, and finding its factors is basically an adventure in mathematical exploration! Also, in history, the development of algebra as we know it today traces back to ancient civilizations, particularly the Babylonians, who used geometric methods to solve quadratic equations—so you're continuing a rich tradition when you factor trinomials today!