5 Minute Check 5 minutes Multiply. 1) 2x(3x2 + 4x + 1) 2) (4x + 3)(2x)

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Presentation transcript:

5 Minute Check 5 minutes Multiply. 1) 2x(3x2 + 4x + 1) 2) (4x + 3)(2x)

Multiplying Polynomials Objectives: Students will demonstrate mastery in analyzing the processes in determining the product(s) of two Polynomials. Why? So you can apply these principles to real-world situations. Mastery is 80% or better on 5 min checks and Indy work. .

Guided Practice Example 1 Multiply…..(Binomial) (Trinomial) (x + 1)(x2 + x + 1) = (x)(x2 + x + 1) + (1)(x2 + x + 1) = (x3 + x2 + x) + (x2 + x + 1) = x3 + 2x2 + 2x + 1 Option 1: Distribute Option 2: Stack

Guided Practice Example 2 Multiply. (2x + 3)(x2 + 4x + 5) = (2x)(x2 + 4x + 5) + (3)(x2 + 4x + 5) = (2x3 + 8x2 + 10x) + (3x2 + 12x + 15) = 2x3 + 11x2 + 22x + 15 What process is illustrated above in finding the products of the Binomial & Trinomial? Explain

Quick Write When evaluating the product(s) of two polynomials (3x2 or 3x4) What approach / option do you prefer? Why? Ex. Stacking or Distributing. Explain…

On Your Own Practice Multiply. 1) (x2 + 5)(x2 + 3x – 4) x4 + 3x3 + x2 +15x - 20 2) (2x – 3y + 5)(3x + 4y) 6x2 - xy + 15x - 12y2 + 20y

Guided Practice Example 3 Multiply. (5x2 + 3x + 2)(3x2 + 2x – 1) 15x4 + 10x3 – 5x2 9x3 + 6x2 – 3x 6x2 + 4x - 2 15x4 + 19x3 + 7x2 + x - 2

Quick Write / Pair Share Compare & Contrast: What are some of the differences & similarities in the process of finding the products of two binomials and the products of a Binomials & a Trinomial. Explain in your own words

Guided Practice Example 4 Multiply. (4n3 – 6n – 5)(2n2 + n – 2) 8n5 + 4n4 – 8n3 -12n3 – 6n2 + 12n -10n2 – 5n + 10 8n5 + 4n4 – 20n3 – 16n2 + 7n + 10

What Do You Think? What is the importance if any in stacking terms? As seen in the previous example. Explain…

On Your Own Practice Multiply. 1) (3x2 – 2x + 4)(x2 + 5x + 1)

Critical Thinking… What could have caused a student to get an answer of x2 +7x2 + 12 when given the following problem… (x+3) (x+4). Is this answer correct? If not, where did they go wrong?

My objective for the day was…. Today I learned ……. Exit Questions

Homework PDF Online