Section 1.5 : Factoring Polynomials
14. Factor the following polynomial.
\[4{w^2} - 25\] Show SolutionWe can do this in the manner of the previous problems if we wanted to. On the other hand we can notice that we have a difference of perfect squares and so this is one of the special forms.
Therefore, the factoring of this polynomial is,
\[4{w^2} - 25 = \require{bbox} \bbox[2pt,border:1px solid black]{{\left( {2w - 5} \right)\left( {2w + 5} \right)}}\]Note that while you don’t need necessarily need to know the special forms if you do and can easily recognize them it will make the factoring easier.