Factoring Trinomials: a > 1 / Warm-Up / Instruction

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What is the factored form of 6x2 + 13x + 6? (x + 4)(x + 9) (2x + 3)(3x + 2) (2x + 6)(3x + 1) (6x + 1)(6x + 1)

(2x + 3)(3x + 2)

Factor the trinomial 7x2 - 3x - 4. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

-7 and 4 / ( 7x+4)(x-1)

Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .

36 / 13 / 9

What is the factored form of 6x2 + 11x - 10? (2x + )( x - )

5 / 3 / 2

Use a geometric model to factor 2x2 - x -1 by following these steps:

Step 1: Place two big square tiles horizontally. Place a red long tile to the right of the big square tiles. Step 2: Place two blue long tiles underneath the big square tiles. Place a small blue square to the right of the two blue long tiles. Step 3: Place two long red tiles above the bog square tiles, horizontally. Place a long red tile to the left of the big square tiles, then place a small blue square underneath that. Step 4: B

Use geometric model to factor 3x2 + 4x +1 by following these steps:

Step1: Place 3 big square tiles in a row horizontally. Place a long tile under each big square tile. place one long tile to the right of the big square tiles, then place a small square tile underneath that. Step 2: Place three long tiles above the big square tiles. place a small square tile to the right of the long tiles. Place a long tile to the left of the big square tiles, then place a small square tile under that. Step 3: B


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