The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot:

Question

3 years ago

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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?

Mathematics

2 answers:

inessss [21] · Answer 1 · 2022-04-17T13:12:10+03:00

inessss [21]3 years ago

8 0

Answer:

a

Step-by-step explanation:

e2020

arsen [322] · Answer 2 · 2022-04-17T11:21:27+03:00

Answer:

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) ....