1 / 19

Simplify the expression.

Warm Up #9. Simplify the expression. 1. ( – 3 x 3 )(5 x ). – 15 x 4. ANSWER. 2. 9 x – 18 x. – 9 x. ANSWER. 3. 10 y 2 + 7 y – 8 y 2 – 1. 2 y 2 + 7 y – 1. ANSWER. Check your HW 5.2. Add & Subtract Polynomials. Monomial: 1 term. These are all polynomials.

adsila
Download Presentation

Simplify the expression.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm Up #9 Simplify the expression. 1. (–3x3)(5x) –15x4 ANSWER 2. 9x– 18x –9x ANSWER 3. 10y2 + 7y – 8y2 – 1 2y2 + 7y – 1 ANSWER

  2. Check your HW 5.2

  3. Add & Subtract Polynomials Monomial: 1 term These are all polynomials Binomial: 2 terms Trinomial: 3 terms Adding Polynomials: Combine the like terms Like Terms – Terms that have the same variables with the same exponents on them Combining Like Terms: Add the coefficients of each all like terms Ex. 3x + (-5x) = [3 + (-5)]x = -2x

  4. Example: Rewrite Combine Like Terms

  5. EXAMPLE 1 a. Add 3y3 – 2y2 – 7y and –4y2 + 2y – 5 (3y3 – 2y2 – 7y) + (–4y2 + 2y – 5) 3y3 – 2y2 – 4y2 – 7y + 2y – 5 Gather like terms 3y3 – 6y2 – 5y – 5 Combine like terms

  6. EXAMPLE 2 b. Subtract 5z2 – z + 3 from 4z2 + 9z – 12 (4z2 + 9z – 12) – (5z2–z + 3) Remember to distribute the – through the ( ) 4z2 + 9z – 12 – 5z2 + z – 3 4z2 – 5z2 + 9z + z – 12 – 3 Gather like terms –z2 + 10z – 15 Combine like terms

  7. for Examples 1 and 2 GUIDED PRACTICE Find the sum 1. (t2 – 6t + 2) + (5t2 – t – 8) t2 + 5t2 – 6t – t + 2 – 8 6t2 – 7t – 6

  8. for Examples 1 and 2 GUIDED PRACTICE Find the difference 2. (8d – 3 + 9d3) – (d3 – 13d2 – 4) 8d – 3 + 9d3 – d3 + 13d2 + 4 9d3 – d3 + 13d2 + 8d – 3 + 4 8d3 + 13d2 + 8d + 1

  9. There are three techniques you can use for multiplying polynomials. It’s all about how you write it… • Distributive Property • FOIL • Box Method I use FOIL most often, you may use the method you like best.

  10. Remember, FOIL reminds you to multiply the: First terms Outer terms Inner terms Last terms

  11. The FOIL method is ONLY used when you multiply 2 binomials. It is an acronym and tells you which terms to multiply.Use the FOIL method to multiply the following binomials:(y + 3)(y + 7).

  12. (y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial. y2

  13. (y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial. y2+7y

  14. (y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial. y2 + 7y +3y

  15. (y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial. y2 + 7y + 3y + 21 Combine like terms. y2 + 10y + 21

  16. Multiply (2x - 5)(x2 - 5x + 4) You cannot use FOIL because they are not BOTH binomials. You must use the distributive property. 2x(x2 - 5x + 4) - 5(x2 - 5x + 4) 2x3 - 10x2 + 8x - 5x2 + 25x - 20 Group and combine like terms. 2x3 - 10x2 - 5x2 + 8x + 25x - 20 2x3 - 15x2 + 33x - 20

  17. Multiply (2x - 5)(x2 - 5x + 4)You cannot use FOIL because they are not BOTH binomials. You must use the distributive property or box method. 2x3 -10x2 +8x Almost done! Go to the next slide! -5x2 +25x -20

  18. Multiply (2x - 5)(x2 - 5x + 4)Combine like terms! 2x3 -10x2 +8x -5x2 +25x -20 2x3 – 15x2 + 33x - 20

  19. Class/Homework AssignmentWorkbook 5.3(1-21 odd)

More Related