Solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems Video Lesson

About This Video

Curriculum-aligned Grade 12 Mathematics lesson video for Solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems. Use it for classroom preview, instruction support, or home review.

This watch page is dedicated to the video. For the complete text lesson plan, activities, standards alignment, and answer guides, use the companion lesson page: Solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems lesson plan.

Video Learning Notes

In this lesson, students learned to solve polynomial equations and inequalities with real coefficients using various algebraic techniques including factoring, synthetic division, and the Rational Root Theorem. They practiced solving polynomial and rational inequalities by finding critical points, testing intervals, and expressing solution sets in interval notation. Applying these skills to real-world problems helped students understand the relevance of algebraic reasoning. Students also addressed common misconceptions and developed confidence in explaining their solution strategies.

Learning Goals

• Solve polynomial equations with real coefficients using various algebraic techniques in mathematical and real-world problems.
• Solve polynomial inequalities with real coefficients using multiple techniques and express solution sets in interval notation.
• Solve rational inequalities with real coefficients using appropriate methods and write solution sets in interval notation.

Curriculum Context

Grade: Grade 12

Subject: Mathematics

Curriculum: TEKS