Algebra — Factorizing Trinomial

About this lesson

This unit teaches students how to factorize trinomials in two forms: x² + bx + c and ax² + bx + c (where a ≠ 1). It begins with the concept of finding two integers whose product is c and whose sum is b, then extends to cases where the leading coefficient is not 1, using methods like listing factor pairs and checking the middle term. The unit also covers complete factorization by first taking out the greatest common factor, and then solving quadratic equations by setting each factor equal to zero. Real-life problems are included, such as designing a smartphone screen, building a swimming pool, and expanding a rectangular garden, to apply factorization and solving equations. By the end, students should be able to factorize trinomials completely, solve quadratic equations using factorization, and use these skills to solve word problems involving areas and dimensions.