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The factorization of a trinomial is modeled with algebra tiles.

An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled negative. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 12 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled negative x, the 3 tiles below + x squared are labeled + x, and the 6 tiles below the negative x tiles are labeled negative.
Which trinomial is factored?

x2 + 3x – 6
x2 + 5x – 6
x2 + 3x – 2
x2 + x – 6

Sagot :

Kaileym414idn

Answer:

A.) x + 3 and x + 2

Step-by-step explanation:

Adioabiolaidn

The trinomial which is factored as described is; x² + x - 6.

Trinomial factorisation

According to the question;

  • Factor 1 spot: 1 is labeled + x, 2 are labeled negative.

(x -1 -1)

  • Factor 2 spot: 1 is labeled + x and 4 are labeled +.

x + 1 + 1 + 1

  • Product spot: 1 is labeled + x squared, 2 are labeled negative x, the 3 tiles below + x squared are labeled + x, and the 6 tiles below the negative x tiles are labeled negative.

x²-2x +3x -6

Hence, the product of the factors is therefore;

  • x² + x - 6.

From the description of the previous factors; the trinomial which is factored is; x² + x - 6.

Read more on trinomial factorisation;

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