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Algebra 1. 7.8 Special Products of Binomials. Learning Targets. Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal Students should be able to find special products of binomials. Essential Question
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Algebra 1 7.8 Special Products of Binomials
Learning Targets Language Goal • Students should be able to read, write, say, and classify polynomials. Math Goal • Students should be able to find special products of binomials. Essential Question • What are the characteristics that make binomials so special?
Vocabulary Perfect Square Trinomial: A trinomial whose factored form is the square of a binomial. A perfect-square trinomial has the form: or Difference of two squares: A polynomial of the form which can be written as the product
Example Type 1: Finding Products in the Form (a + b)² Multiply A. (a + 4)² B. (3x + 2y)²
Example Type 1: Finding Products in the Form (a + b)² Multiply C. D. ²
Example Type 2: Finding Products in the Form (a – b)² Multiply A. (x – 5)² B. (6a – 1)²
Example Type 2: Finding Products in the Form (a – b)² Multiply C. (4c – 3d)² D. (3 – x²)²
Example Type 3: Finding Products in the Form (a + b)(a – b) Multiply A. B.
Example Type 3: Finding Products in the Form (a + b)(a – b) Multiply C.D.
Example Type 4: Word Applications A. A square koi pond is surrounded by a gravel path. Write an expression that represents the area of the path.