Is there a quicker way to calculate the square of quadratic polynomial?
${(x^{2} - 6 x + 7)}^{2}$

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Is there a quicker way to calculate the square of quadratic polynomial?(x2−6x+7)2

Buizzae77t · Accepted Answer

Step 1The column headings are x2, −6x and 7, the row headings the same. Write down the bits as you visualise the row, column intersections. On the leading diagonal will be x4, 36x2 and 49Each of the other answers occurs twice. So, essentially, you are trying to visualise the following.[x2−6x7][x2−6x7][x4−6x37x2−6x336x2−42x7x2−42x49]With practice you should be able to simply write down the &quot;almost answer&quot;,x4+36x2+49−12x3+14x2−84xand it depends on how much you can carry in your head as to if you want to gather together like terms at the same time. Such mental gymnastics helps to keep the algebra interesting.The party piece is to do similar with (x2−7x+6)3 by visualising a cube!

Is there a quicker way to calculate the

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