This math unit develops students' abilities in factoring polynomials, varying in progression from third-order (cubic) to fourth-order (quartic) equations. Starting with factorizing quartic polynomials by interpreting them as products of quadratic factors, students initially manage simpler coefficients before tackling more complex coefficients. These introductory problems focus heavily on recognizing patterns and implementing the correct factoring techniques without additional hints, utilizing multiple choice and true/false formats to solidify understanding and verify accuracy. The unit then transitions into factoring third-order polynomials by employing specific methods such as the sum of cubes formula. Here, students encounter both basic and intricate coefficients, further enhancing their comprehension of polynomial identities and structural forms across different settings. Towards the later stages, the emphasis shifts towards factorization by grouping in cubic polynomials. These exercises refine students' skills in identifying and grouping common factors, initially through multiple-choice questions and later through true/false formats. This helps to ensure a deeper understanding of polynomial manipulation techniques, culminating in a comprehensive grasp of higher order polynomial factoring.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.