Complete the statements to explain how to factor x2 + x – 12 using algebra tiles.
represent the trinomial using 1 positive x2-tile,
_1 positive x tile_, and _12 negative unit tiles_ .
form a rectangle with the tiles, adding zero pairs as needed. how many zero pairs are needed? _3_
drag tiles onto the board to represent each factor. what is the factorization? x2+x – 12 = _(x - 3)(x + 4)_

The factorized form of the quadratic equation is and this can be determined by using the algebra tiles.

Given :

Quadratic Equation -

The following steps can be used to factorize the given quadratic equation using algebra tiles:

Step 1 - Take 1 positive tile of , take 4 positive tiles of , take 3 negative tiles and 12 negative unit tiles.

Step 2 - Three zero pairs are required to form a rectangle.

Step 3 - Now, drag the tiles onto the board.

Step 4 - Now, write the factorized form of the given quadratic equation.

For more information, refer to the link given below:

link

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

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