the factorization of x² + 3x - 4 is modeled with algebra tiles. what are the factors of x² + 3x - 4? (x + 4)…

Explanation:

Step1: Recall factoring quadratic form

For a quadratic expression (ax^{2}+bx + c) (here (a = 1), (b=3), (c=-4)), we need to find two numbers (m) and (n) such that (m\times n=ac=- 4) and (m + n=b = 3).

Step2: Find the two - numbers

The two numbers that satisfy (m\times n=-4) and (m + n = 3) are (4) and (-1) since (4\times(-1)=-4) and (4+( - 1)=3).

Step3: Rewrite the middle term

Rewrite (x^{2}+3x - 4) as (x^{2}+4x-x - 4).

Step4: Group and factor

Group the terms: ((x^{2}+4x)-(x + 4)=x(x + 4)-1(x + 4)=(x + 4)(x - 1)).

Answer:

C. ((x + 4)) and ((x - 1))