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L E S S O N Finding Special Products of Binomials 60
Warm Up
1. Vocabulary Which polynomial is a trinomial?
(53) A 3x3 +5
C 4x2 +6x-9
Simplify.
(58)
2. (2x + 3)(3x - 5)
3. (3x + 7)(5x + 6) 4.(3x-2)(3x2 -x+7)
B 7x2 +5ยท4x
D 2x3 +5x2 +3x-8
New Concepts
Exploration Multiplying Binomials Square the following binomials
1. (2t + 2)2
2. (4y + 3)2
3. (a + b)2
4. (t - 5)2
5. (2x - 3)2
6. (a - b)2
7. Describe a pattern for (a + b)2 and (a - b)2.
Multiply the following binomials 8. (3x + 4)(3x - 4)
9. (x+6)(x-6)
10. (a+b)(a-b)
11. Describe a pattern for (a + b)(a - b).
Hint
To square a binomial multiply it by itself.
Online Connection www.SaxonMathResources.com
The square of a binomial (a + b)2 or (a - b)2 results in a perfect-square trinomial. Trinomials of the form a2 + 2ab + b2 and a2 - 2ab + b2 are perfect-square trinomials because they are the product of a factor times itself.
390 Saxon Algebra 1
