Take into consideration is wordy for consider. In most cases, the three-word phrase could be shortened to a single word with no loss of meaning. This is equally true when take and into consideration are separated by the thing being considered. Take under consideration is likewise redundant, though it’s less common.
Examples
In these examples, take into consideration and its variations could be shortened to the one-word consider, considered, or considering:
And that’s without taking into consideration [considering] the near certainty of additional federal layoffs. [Salon]
Willis … asked for two further offences of making threats to kill to be taken into consideration [considered]. [Birmingham Mail]
Mayor Michael Bloomberg has been pushing for Albany to change the law to take other teacher attributes into consideration [consider other teacher attributes] during layoffs. [Wall Street Journal]
The commissioners also took under consideration [considered] a request for an additional $5,000 in funding for the homecoming this year. [Parkersburg News]

