The factorization of x2 + 3x - 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x - 4?

Question

Mathematics

Karsyn Henderson

11 February, 13:06

The factorization of x2 + 3x - 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x - 4?

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Amelia Kelly · Answer 1

The factors of x^2+3x-4 are (x-1) (x+4) ...

Step-by-step explanation:

We have to find the factors of x^2+3x-4

As we know that this is a quadratic equation.

So we have to find the roots first.

The roots are - 1 and 4.

Now completing the quadratic formula using the roots we have:

x^2+4x-x-4

Make a pair of first two terms and last two terms:

(x^2+4x) - (x+4)

Now take out the common from each pair:

x (x+4) - 1 (x+4)

(x-1) (x+4)

Thus the factors of x^2+3x-4 are (x-1) (x+4) ...