Final: Area, Expanded
Part of the Exponents & Polynomials section of Coddy's Algebra journey. Lesson 63 of 64.
The area of the first bed is (x+5)(x+2). Expanding it gives four products: x^2, 2x, 5x and 10. Collecting the two middle terms gives x^2 + 7x + 10.
The factored form shows the two sides. The expanded form shows how the area changes as x changes, term by term. Both forms are equal for every value of x.
Challenge
MediumExpand the second bed's area (x+6)(x+2) into a trinomial.
Try it yourself
Simplify the expression
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Exponents & Polynomials
1What a Power Is
Repeated MultiplicationSquares and CubesPowers of Negative NumbersWhere the Minus LivesRecap: First Powers4Power of a Power
A Power Raised AgainWhy Exponents MultiplyProduct Rule or Power Rule?The Rule in LettersRecap: Power of a Power2The Product Rule
Multiplying Same BasesWith CoefficientsMore Than Two FactorsThe Rule in LettersRecap: The Product Rule5Product and Quotient Powers
Every Factor Gets the PowerWith a Number InsideA Power of a QuotientAll Three Rules TogetherRecap: Products and Quotients8What a Polynomial Is
Terms with PowersThe DegreeLike Terms, Only StrongerRecap: Meet the Polynomials11Dividing by a Monomial
Splitting the FractionDividing by a Variable TermBigger SplitsCancel with CareRecap: Dividing3The Quotient Rule
Dividing Same BasesWhy Exponents SubtractWith CoefficientsThe Rule in LettersRecap: The Quotient Rule6Zero and Negative Exponents
The Zero ExponentZero at WorkNegative Means ReciprocalWriting Without NegativesPowers of TenRecap: Zero and Negative9Adding and Subtracting
Adding PolynomialsSubtracting PolynomialsThe Minus Reaches EverythingPerimeter as a PolynomialRecap: Add and Subtract12Final Challenges
Final: Three Rules, One LineFinal: Scientific NotationFinal: The Big TidyFinal: Area, ModeledFinal: Area, ExpandedFinal: Divide and Conquer