Algebra I : Semester II : Polynomials

Sections:

Introduction  |   Section 1  |   Section 2  |   Section 3  |  Section 4  |  Section 5  |  Section 6

Section Three

Part 1  |  Part 2  |   Part 3  |  Part 4  |  Part 5

Algebra 1: Section 3: Polynomials Special Products   Click here for a presentation on Special Products These are the rules you just saw in the presentation.   Special Products Square of a Sum                              (a + b)2 = a2 + 2ab +b2 Square of a Difference                     (a – b)2 = a2 – 2ab + b2 Product of a Sum and Difference     (a + b) (a – b) = a2 – b2 Note: If you find it too difficult to memorize the formulas, you may continue to use FOIL to find these products. These are meant to be a shortcut, but they are not shorter if you have trouble with them. So, use your own judgment here. Example 1: Square of a Sum or Difference Find the square of each of the binomials below. (x + 5)2 x2 + 10x + 25 (3x + 4)2 9x2 + 24x + 16 (2x – 3y)2 4x2 – 12xy + 9y2 (6x – 1)2 36x2 – 12x + 1 Example 2: Product of a Sum and Difference Find the product of the binomials below. (x + 3)(x – 3) x2 – 9 (4y + 5)(4y – 5) 16y2 – 25 (6a + 7b)(6a – 7b) 36a2 – 49b2 Example 3:  Finding an Area of a Square Mark has a square field. One side of it is 4x + 8 feet long. What is its area? The area of a square is found by squaring the side. A = s2 A = (4x + 8)2 A = 16x2 + 64x + 64 square Feet (sq. ft.).   Practice Square the Binomial Click to get a new problem. Square the binomials or find the product of the sum and difference. Then click to see the answer. Product of Sums and Differences Section 3 Homework (10 points) It’s time to complete your homework. Find the section homework link to submit it for a grade. You may take this only one time, so check your understanding of the material before completing your homework, and do your best. Now go on to the next section

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