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Learn different methods to multiply polynomials and practice examples using the distributive property, FOIL method, and box method.
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BELL-WORK Gateway Bell-Work # 31,32 TB pg 483 #9,14
Formative Assessment Review What is the range of the function f(x) = 2x - 1 with the domain of 1, 3, 5? 1,2,3 1,5,9 0,4,8 2,6,10
Formative Assessment Review What is the range of the linear relation? {(0,-6), (1,-4), (2,-2), (3,0)} {0,1,2,3} {-6,-4,-2,0} {0,-4,2,3} {0,-6,1,3}
Formative Assessment Review What is the range of the function shown in the graph? -3 ≤ y ≤ 0 -2 ≤ y ≤ 0 -3 ≤ y ≤ -2 -5 ≤ y ≤ 0
Check Point Reminders: Check off your project on the rubric Make sure it is neat and creatively put together Make sure every section has its own title Make sure you talk ONLY about why the person is a minority in the first section Make sure you give proper citations Make sure you give enough information Project is due on Monday
HW 3.3(d) Due tomorrow: PW 8-3 # 1,2,8,26,27,31,34
HW 3.3(c) Solutions 5n2 + 35n -b3 + 10b2 2y3 – 3y2 + 6y 8. -4m4 + 8m3 – m2 -2t6 – 4t3 + 8t2 -8a9 + 56a3 – 56a2 14. -5d4 + 10d3 – 15d2 10. x2 – 2x– 15 11. a2 – 15a+ 26 12. w2 + 4w– 32 5h2 + 32h– 21 2x2 – 3x– 9 15. 12p2 + 14p+ 4
CW 3.5 IN the CW section of your notebook complete: TB pg 477 # 9-11, 27-29, 44-47
Guiding question: How are polynomials multiplied?
Multiplying Polynomials To multiply by a monomial use… distributive property. To multiply by a binomial use… the box method, FOIL, or the distributive property.
FOIL Method (2x + 3)(x + 4) FOIL is an acronym which reminds you to multiply the following terms… First: (2x + 3)(x + 4) Outer: (2x + 3)(x + 4) Inner: (2x + 3)(x + 4) Last: (2x + 3)(x + 4)
Distributive Property Method (2x + 3)(x + 4) Using the distributive property you can distribute the first binomial to the second. 2x(x + 4) + 3(x + 4) All methods give you the same answer! As usual, I will not restrict the method you use. On your HW, disregard the method instructions…just multiply using which ever method you like!
Multiplying by a Binomial Simplify (4y – 3)(2y + 2)
Multiplying by a Binomial Did you get it? Simplify: (a) (4x – 2)(3x – 6) (b) (3x + 4)(2x + 5) (6x – 8)(x + 7) 12x2 – 30x + 12 6x2 + 23x + 20 6x2 + 34x – 56
Multiplying by a Trinomial How would you multiply the following? (3x2 – 2x + 3)(2x + 7) You can use the box method, the distributive property method or you can arrange the polynomials vertically and multiply them. (6n – 8)(2n2 + n + 7) You can use these methods to multiply polynomials of higher degrees!
Who wants to answer the Guiding question? How are polynomials multiplied?