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# Math AB Chapter 8 Polynomials

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Trial on Polynomials.

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### Math AB Chapter 8 Polynomials

1. 1. MATH A Chapter 8 Review MULTIPLYING POLYNOMIALS
2. 2. What do we know about Polynomials? Degree - Binomial - Trinomial - When you multiply you ________ exponents. When you divide you _________ exponents.
3. 3. <ul><li>When we want to multiply Binomials </li></ul>For example: (2x – 8)(3x + 1) F (2x)(3x) = 6x 2 O (2x)(+1) = 2x I (-8)(3x) = - 24x L (-8)(+1) = -8 You use the FOIL method! Answer: 6x 2 – 22x – 8
4. 4. <ul><li>YOUR TURN! </li></ul><ul><li>Try these: </li></ul><ul><li>(x – 3)(2x + 4) </li></ul><ul><li>(6y – 1)(2y + 5) </li></ul><ul><li>3. (5z – 10)(3z – 3) </li></ul>
5. 5. <ul><li>What if you need to express the area of a rectangle whose dimensions are: (2x + 7) and (5x – 3)? </li></ul>(2x+7) (5x-3) Find the Area! So, A = bh A = (2x + 7)(5x-3) A = 10x 2 + 25x – 6x – 21 AREA is = 10x 2 + 19x - 21
6. 6. <ul><li>Allright…..that was a good review…… NOW, </li></ul><ul><li>Let’s Practice….. </li></ul>
7. 7. <ul><li>1. Simplify: </li></ul><ul><li>(y 3 – 7y + 10) + (3y 3 + y 2 – 3) </li></ul><ul><li>1. 4y 3 + y 2 – 7y + 7 3. 4y 6 + y 2 – 7y + 7 </li></ul><ul><li>2. -2y 3 – y 2 – 7y + 13 4. 2y 3 + y 2 – 7y + 7 </li></ul>
8. 8. <ul><li>2. Evaluate: </li></ul><ul><li>(6x 2 – 7x + 4) – (x 2 – 7x + 14) </li></ul><ul><li>1. 7x 2 – 14x + 18 3. 7x 2 – 10 </li></ul><ul><li>2. 5x 2 – 10 4. 5x 2 – 14x - 10 </li></ul>
9. 9. 3. Simplify : (4 y - 5)(3 y - 7) A.12 y 2 – 43 y + 35 C. 12 y 2 – 13 y + 35 B.12 y 2 + 35  D.12 y 2 – 43 y – 35
10. 10. <ul><li>4. Write an expression for the area of the rectangle.     </li></ul><ul><li>A. x 2 - 20 C. x 2 – 20x - 1 </li></ul><ul><li>B. x 2 – 9 x – 20   D. x 2 – x – 20 </li></ul>(x - 5) (x + 4)