FOIL Day 3

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# FOIL Day 3 - PowerPoint PPT Presentation

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.

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.