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Intro to Polynomials. I will be able to multiply and simplify polynomials. LT:. Rewrite into standard form What are the missing terms? What is the leading coefficient? What is the constant term? List the degrees What is the degree of the polynomial?. Today’s Agenda. Success Criteria

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LT:

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  1. Intro to Polynomials I will be able to multiply and simplify polynomials LT: • Rewrite into standard form • What are the missing terms? • What is the leading coefficient? • What is the constant term? • List the degrees • What is the degree of the polynomial? Today’s Agenda Success Criteria • I can multiply a polynomials • I can simplify • Do Now • Lesson • HW#23

  2. Multiplying Polynomials By Monomials When multiplying, add the exponents! 1) Simplify: 5(7n – 2) Use the distributive property. 5 • 7n 35n – 10 – 5• 2

  3. 2) Simplify: 6a2 + 9a 3) Simplify:6rs(r2s - 3) 6rs • r2s 6r3s2 – 18rs – 6rs • 3

  4. 4) Simplify: 4t2(3t2 + 2t – 5) + 8t3 – 20t2 12t4 5) Simplify: - 4m3(-3m – 6n + 4p) 12m4 + 24m3n – 16m3p

  5. 4(d2 + 5d) + d(d2 – 7d + 2) 7) 4y(y2 – 8y + 6) – 3(2y3 – 5y2 + 2)

  6. Multiplying Polynomials We use the distributive property to multiply two or more polynomials. • Distribute the first term of the first ( ) to ALL terms in the second ( ). • Distribute the second term of the first ( ) and continue until you are done with the first ( ). • Combine like terms.

  7. 1. ( x – 5)( x + 7) x2 + 7x – 5x – 35 x2 + 2x – 35

  8. 2. (2x + 3)(5x + 8) 10x2 + 16x + 15x + 24 10x2 + 31x + 24

  9. 3. (3x – 5)(5x + 2) 15x2 + 6x – 25x – 10 15x2 – 19x – 10

  10. 4. (7p – 2)(3p – 4) 21p2 – 28p – 6p + 8 21p2 – 34p + 8

  11. 5. (a – 3)(a2 – 8a + 5) a3 – 8a2 + 5a – 3a2 + 24a – 15 a3 – 11a2 + 29a – 15

  12. 6. (3c + 2)(c2 – 4c + 8) 3c3 – 12c2 + 24c + 2c2 – 8c + 16 3c3 – 10c2 + 16c + 16

  13. HW#23

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