75 Factoring Special Products - Bainbridge High School · 75 Factoring Special Products 1. Factor...
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Alg1 Notes 7.5.notebook March 07, 2013 Skills we've learned Skills we need Determine whether the following are perfect squares. If so, find the square root. 1) 64 2) 36 3) 45 4) x 2 5) y 8 6) 4x 6 7) 9y 7 8) 49p 10 75 Factoring Special Products 1. 5x 2 + 17x +6 2. 2x 2 +5x– 12 Factor each polynomial. 3. 6x 2 – 23x +7 4. –4x 2 + 11 x + 20 5. –2x 2 +7x –3 6. 8x 2 + 27 x+ 9 Warmup Answers
Transcript of 75 Factoring Special Products - Bainbridge High School · 75 Factoring Special Products 1. Factor...
Alg1 Notes 7.5.notebook March 07, 2013
Skills we've learned
Skills we needDetermine whether the following are perfect squares. If so, find the square root. 1) 64 2) 36 3) 45
4) x2 5) y8 6) 4x6 7) 9y7 8) 49p10
75 Factoring Special Products
1. 5x2 + 17x + 6 2. 2x2 + 5x – 12 Factor each polynomial.
3. 6x2 – 23x + 7
4. –4x2 + 11x + 20 5. –2x2 + 7x – 3 6. 8x2 + 27x + 9
Warmup Answers
Alg1 Notes 7.5.notebook March 07, 2013
75 Factoring Special Products
1. Factor perfectsquare trinomials2. Factor the difference of two squares
Land Planning
I. Recognizing PerfectSquare TrinomialsA trinomial is a perfect square if:
• The first and last terms are perfect squares.• The middle term is two times one factor from the first term and one factor from the last term.
Alg1 Notes 7.5.notebook March 07, 2013
Circle each trinomial that is a perfect square. 1. 9x2 – 15x + 64 2. 81x2 + 90x + 253. 6x2 – 10x + 14 4. x2 + 4x + 45. 9x2 – 6x + 4
II. Factoring Perfect Square Trinomials
Factor each trinomial that is a perfect square.
2. 81x2 + 90x + 25 4. x2 + 4x + 4
Alg1 Notes 7.5.notebook March 07, 2013
6. 4x2 + 12x + 9Factor each trinomial that is a perfect square.
7. 100x2 + 140x + 49
III. Recognizing the Difference of Two Squares
9. 3p2 – 9q4 10. 100x2 – 4y2
Alg1 Notes 7.5.notebook March 07, 2013
11. x4 – 25y6 12. 1 – 4x2 13. p8 + 49q6 14. 16x2 – 4y5
Circle each binomial that is a difference of two squares.
IV. Factoring the Difference of Two Squares
Factor each binomial that is a difference of two squares.
16. 100x4 – y6 15. x2 – 16
Alg1 Notes 7.5.notebook March 07, 2013
Factor each binomial that is a difference of two squares.
18. 64x4 – y6 17. 25x2 – 49
V. Application
19. A square piece of cloth must be cut to make a tablecloth. The area needed is (16x2 – 24x + 9) in2. The dimensions of the cloth are of the form cx – d, where c and d are whole numbers. Find an expression for the perimeter of the cloth. Find the perimeter when x = 11 inches.
When x = 11 in. the perimeter of the tablecloth is 164 in.
Alg1 Notes 7.5.notebook March 07, 2013
7.5 p.494 #3, 6, 7, 9, 12, 18, 20, 24, 27 31, 38, 41, 46
