Question

he factorization of x2 + 3x – 4 is modeled with algebra tiles. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)

Answer 1

Answer: (x + 4) and (x – 1)

Answer 2

For this case we must factor the following expression:

$x ^ 2 + 3x-4$

To factor, we must find two numbers that when added together result in +3. And when multiplied, give -4 as a result.

Those numbers are +4 and -1, then:

$+ 4-1 = + 3\\+4 * (- 1) = - 4$

Thus, the factorization remains:

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

We check applying distributive property, then:

$x ^ 2-x + 4x-4 = x ^ 2 + 3x-4$

Answer:

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

Option C