(a^2 + 1)(x^2 + 1) - a^2(a^2 + 2)x

I have to factorize this, but it seems almost impossible.Can anyone help? Preferably with the steps shown in proper order.

Printable View

- February 22nd 2010, 08:57 AMBasalPolynomial factorization
(a^2 + 1)(x^2 + 1) - a^2(a^2 + 2)x

I have to factorize this, but it seems almost impossible.Can anyone help? Preferably with the steps shown in proper order. - February 22nd 2010, 10:31 AMDiagonal
Perhaps you might show some steps? One approach is to expand, then show the form as Ax^2 + Bx + C. All quadratics can be written as the product of two factors, but not always with nice round numbers. It will not factor readily that I can see, so you might try using the quadratic formula if you must. Feasibility depends upon whether or not you allow radical quantities. Here's the form I am talking about:

(a^2+1)x^2 -a^2(a^2+2)x + (a^2+1)

I'll let you plug and chug. - February 22nd 2010, 11:03 AMBasal