Question

The factorization of x2 + 3x – 4 is modeled with algebra
tiles.
What are the factors of x2 + 3x – 4?
O (x + 4) and (x-4)
O (x + 3) and (x-4)
O (x + 4) and (x - 1)
O (x + 3) and (x - 1)
+X
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+x
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Y

Answer 1

Option C: (x+4) and (x-1) are the factors of the equation

Explanation:

Given that the equation is $x^{2} +3x-4$

We need to determine the factors of the equation.

Splitting the middle term, we get,

$x^{2} +4x-x-4$

Grouping the terms, we have,

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

Let us factor out the term (x+4), we have,

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

Thus, the factors of the equation are (x+4) and (x-1)

Hence, Option C is the correct answer.