How do i put this in box method after factoring.
So my answer factor is
3 ( x+4)(x+1)
To put an expression in the box method after factoring, you can follow these steps:
Step 1: Write down the factors of the expression in parentheses.
In your case, the factors are (x+4) and (x+1).
Step 2: Create a box with four cells or spaces.
The box will have two rows and two columns.
Step 3: Fill in the cells of the box with the multiples of the factors.
Multiply each term from the first factor with each term from the second factor. Place the results in the appropriate cells of the box.
| | |
(x+4) | x(x+4) | 4(x+4) |
(x+1) | x(x+1) | 1(x+1) |
Step 4: Simplify and combine like terms within each cell.
Simplify each cell by multiplying the constant term with the value inside the parentheses.
| | |
(x+4) | x^2 | 4x |
(x+1) | x^2 | x |
Step 5: Add all the terms in each column and row to find the final answer.
To find the final answer, add the terms in each column and row.
Final expression: 3x^2 + 12x + 3x + 12
Simplifying further:
3x^2 + 15x + 12
Therefore, after factoring and using the box method, the expression 3(x+4)(x+1) simplifies to 3x^2 + 15x + 12.