Final: Area, Expanded

Part of the Exponents & Polynomials section of Coddy's Algebra journey. Lesson 63 of 64.

The first bed's area (x+5)(x+2) expands to x^2 + 7x + 10: four products, the middle collected. The expanded form answers a different question than the factored one: it shows how the area grows as x grows, term by term.

Challenge

Medium

Expand the second bed's area (x+6)(x+2) into a trinomial.

Try it yourself

(x+6)(x+2)

Simplify the expression

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Exponents & Polynomials

2The Product Rule

Multiplying Same Bases With Coefficients More Than Two Factors The Rule in Letters Recap: The Product Rule

5Product and Quotient Powers

Every Factor Gets the Power With a Number Inside A Power of a Quotient All Three Rules Together Recap: Products and Quotients

8What a Polynomial Is

Terms with Powers The Degree Like Terms, Only Stronger Recap: Meet the Polynomials

11Dividing by a Monomial

Splitting the Fraction Dividing by a Variable Term Bigger Splits Cancel with Care Recap: Dividing

3The Quotient Rule

Dividing Same Bases Why Exponents Subtract With Coefficients The Rule in Letters Recap: The Quotient Rule

6Zero and Negative Exponents

The Zero Exponent Zero at Work Negative Means Reciprocal Writing Without Negatives Powers of Ten Recap: Zero and Negative

9Adding and Subtracting

Adding Polynomials Subtracting Polynomials The Minus Reaches Everything Perimeter as a Polynomial Recap: Add and Subtract

12Final Challenges

Final: Three Rules, One Line Final: Scientific Notation Final: The Big Tidy Final: Area, ModeledFinal: Area, ExpandedFinal: Divide and Conquer