We are talking apples and oranges here, Linkat.
Figuring out the price of different soaps is a good skill to have. So is having a basic understand of how APRs work. But this has very little to do with the type of math that people use to do engineering or science.
Math is an expressive language with deep ideas. Those of us who are fascinated by math spend our lunches talking about recursion, and when we here about the RSA algorithm we not only need to understand how it works, we also find people to talk about it with. Not everybody does this... in fact it is not exactly normal, but it is what math really means.
I can tell you from personal experience (at times awkward personal experience) that most people are bored by math and don't want to even talk about it.
And it is not just a matter of degree... knowing a couple of math terms or to do arithmetic is not real math any more than knowing a couple of Spanish words and phrases is real language. You need to be able to express ideas and get excited by the richness.
Honestly, very people are even interested in doing this. Most students go through the routine, they learn the formulas and they are able to plug in the numbers and turn the crank and get the result. Most student in high school can get very good grades and test scores without a real understanding of, or more importantly a love of, mathematics.
About 5% or 10% of the students do naturally gravitate to mathematics as an expression of ideas (not just a set of procedures to get the correct answer). These are the students who will actually do math and enjoy it. Fortunately 5% or 10% of people who can do mathematics is good enough for our society.
For either group, the math oriented, or the normal student... the time spent learning to factor polynomials is time wasted. This is true of many of the topics in algebra that we cram down students' throats. Most of them will never ever need to these skills.. and those that will need them will be best served figuring it out on their own.
I am going to go out on a limb here Linkat. I bet you have never owned any dice that have more than six sides, have you?