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

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|