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FOIL Day 3. We will continue with presentations from yesterday. Then begin multiplying a polynomial by a binomial. Homework #106 answers. 2. x 2 + 4x + 4 4. t 2 + t – 12 6. z 2 – 4z – 5
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FOIL Day 3 We will continue with presentations from yesterday. Then begin multiplying a polynomial by a binomial.
Homework #106 answers 2. x2 + 4x + 4 4. t2 + t – 12 6. z2 – 4z – 5 8. 2x2 – 18 10. 2l2 – 3l -20 12. 5q2 + 24q – 5 14. 6m2 – 6 16. 10a2 – 19a + 6 18. 2x2 – 3xy + y2
Complete any presentations from yesterday. Remember the same rules apply. Be courteous to those who still have to present.
Multiplying a Polynomial by a Binomial Example: (3x + 2)(2x2 – 4x + 5) One way is to use distribution. Take the first term of the binomial and multiply it to the trinomial. 3x(2x2 – 4x + 5) 6x3 -12x2 + 15x Then multiply the second term of the binomial and multiply it to the trinomial. 2(2x2 – 4x + 5) 4x2 – 8x + 10 Then combine the like terms from the two products 6x3 -12x2 + 15x + 4x2 – 8x + 10 6x3 -8x2 + 7x + 10
For those who like standard multiplication 2x2– 4x + 5 multiply 3x + 2 4x2 – 8x + 10 6x3 -12x2 + 15x then add 6x3 – 8x2 + 7x + 10 Same answer, but in my opinion if you line up the like terms and add straight down, it is easier.
A little more explanation of the last method First I multiplied everything on the top by “2” Then I multiplied everything on the top by “3x” I lined up the like terms and added straight down.
Which ever you like, use it! Please complete #1-10 on page 21 as class work. Check your answers with Ms. Cruz. There is no homework. Have a great weekend and a nice Memorial Day! I will see you Tuesday, pain or no pain!