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The 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)

Verified Answer :

meerkat18

x² + 3x - 4

factors of x² are x x
factors of -4 that will result to a +3

4 -1 = -4
4 - 1 = 3

(x + 4) and (x - 1)

x(x-1) + 4(x-1)
x² - x +4x - 4
x² + 3x - 4

frika

The quadratic trinomial can be factor using the following formula:

\(ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are trinomial roots}\).

1. For the quadratic trinomial \(x^2 + 3x - 4\) find the roots:

\(D=3^2-4\cdot (-4)=9+16=25,\ \sqrt{D}=\sqrt{25} =5,\\
\\
x_1= \dfrac{-3-5}{2} =-\dfrac{8}{2}=-4,\ x_2=\dfrac{-3+5}{2} =\dfrac{2}{2}=1\).

2. The factoring form of trinomial is

\(x^2+3x-4=(x+4)(x-1)\).

3. The factors are x+4 and x-1

Answer: correct choice is C.

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