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**Multiplying a Polynomial by a Monomial**

Tuesday May 20

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**Today’s Objectives: Review homework answers**

Successfully complete concept check/mini quiz Multiply a polynomial by a monomial (classwork p. 17, homework #104 odds)

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**Homework #103 Answers 1. 6x + 12 y 2. 14s + 9t 3. 3a + 5b 4. 9m – 13n**

5. 2m2 + m x2 – 8x d2 – 3d e2 + 2e 9. 3f + g k2 – 3k x3 -4x b2 – ab – 2 13. 4z2 – z m + 4n – t2 + 2t – 2 g3 + 3g a2 + 8a x2 – 11x z2 + 5z + 4 20. 3c2 – 2c n2 + 9n a2 – 2b l2 – 4l – 1 m2 +8m x2 – 13x b2 – 7b x2 – x + 3

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**Multiplying a Polynomial by a Monomial**

Example. -3x2(4x2 + 6x – 8) You can use distribution to find the product. Multiply -3x2(4x2) = -12x4 Multiply -3x2(6x) = -18x3 Multiply -3x2(-8) = 24x2 Write your answer in standard form (descending order) -12x4 – 18x3 + 24x2 *REMEMBER THE RULES OF EXPONENTS*

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Simplifying Example #2 Simplify -2(4x2 + 5x) – x(x2 + 6x) First do the multiplication for the first term: -2(4x2 + 5x) -8x2 – 10x Then do the multiplication for the second term: – x(x2 + 6x) -x3 – 6x2 Then combine like terms. -8x2 – 10x -x3 – 6x2 -x3 – 14x2 – 10x

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CLASSWORK Complete page 17 in class. Ms. Cruz will have the answers so you can check your answers. When you are finished log into Carnegie. Homework will be # 104 odds only

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