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Course: Integrated math 2 > Unit 2

Lesson 4: Introduction to factoring
Math
Integrated math 2
Quadratics: Multiplying & factoring
Introduction to factoring
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GCF factoring introduction

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Problem

Todor was trying to factor 10x2−5x+15. He found that the greatest common factor of these terms was 5 and made an area model:
An area model for a rectangle with a height of five and an unknown width. The rectangle is broken into three rectangles to isolate each term in the width. The first rectangle has a height of five and an area of ten x squared. The second rectangle has a height of five and an area of negative five x. The third rectangle has a height of five and an area of fifteen.
What is the width of Todor's area model?
Width=