Chapter 5 Section 4 Factoring Trinomials.

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Presentation transcript:

Chapter 5 Section 4 Factoring Trinomials

Find two numbers Sum is 11, product is 24 Sum is -14, product is 40

What is the sum and product?

Area Model Factor: Sum is 11, product is 24. Two numbers are: 8 and 3 Make a box with 4 square inside.

Area Model Factor: 2x2 8x 3x 12 Find the common factors and write on top and on the left side.

Factor 2x2 + 11x+12 x 4 2x 2x2 8x 3 3x 12 Answer: (x + 4)(2x + 3)

Factor 2x2 + 11x+12 Grouping Sum is 11, product is 24 Two number are 3 and 8 Rewrite the middle (linear) term using the two numbers. 2x2 + 3x + 8x +12 Factor by groups.

Continue 2x2 + 3x + 8x +12 Factor by groups (2x2 + 3x) + (8x +12) Common factor x(2x + 3) + 4(2x + 3) (2x + 3)(x + 4)

Try Factor: 3x2 + 8x + 5

Look at this Factor: 3x2 + 3x – 18 Note: Find the common factor first.

On paper Factor: 3x2 + 3x – 18

Factor e) f) g)

Factor h) i) j)

Summary Found two numbers that were the sum and product. Factored a trinomial Area model grouping