Generic Rectangle Factoring Help

Subject Areas

Tools / Misc

bCalc

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scrnGC2: Calc Input

scrnGC3: f(x) Plot Input

scrnGC4: g(x) Plot Input

The inputs above will be hidden when the program finally gets launched. Currently, I am not hiding them even when you close the calculator. The purpose of the inputs is to help in debugging. This allows you to enter simple code on the calculator screen but the program translates the input to javascript math. Give it a try and see if you notice any obvious problems or have suggestions for improvements.

gCalc

drag-N-drop

Select precision* of answer:

Select angle mode:

Enter expression to evaluate here:

The answer is shown below:

Enter function to be plotted:

f(x) =

Enter 2nd function, if needed:

g(x) =

Change or reset the x-y scaling below:

x_min =

x_max =

y_min =

y_max =

Accuracy Disclaimer

The javascript math object methods used for this calculator are not accurate for very large or very small numbers. In particular, the trigonometric functions may yield very small answers that should actually be zero or very large answers that should be infinite. This typically occurs at 90° or pi/2 intervals.

DO NOT USE WHERE HIGH PRECISION IS REQUIRED. USE AT YOUR OWN RISK.

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Generic Rectangle Factoring Help

Factor a Trinomial Using a Generic Rectangle

Given a trinomial as shown:

Start the factoring process by multiplying the first and last terms of the trinomial and place it at the top of a diamond problem as the product. The x-cofficient is placed at the bottom of the same diamond problem.

This is already done for you in the big X (diamond) shown on the page you just came from. The diamond problem solution gives you the split in the x-terms. Once all the areas are known, factoring is reduced to finding the dimensions of each rectangle. In the general case shown below:

dx * fx = ax², e * fx = n₁x,
g * dx = n₂x and e * g = b.

Use these calculated dimensions to determine the factors: (dx + e)(fx + g).