yeah see the thing is, the way i learn math is, i dont memorize anything, i dont sit down and get a formula in my head.
i learn about the thing and i figure it out, how it works, why it works, and why it’s shown in the way that it is, as much as i can about the intricacies about of how it all goes together,
and on the quizzes/tests, i dont know the formula, but i know the purpose of the thing, and i know roughly how it does it, so i just sorta figure it out.
so polynomial long division? its like normal long division, but a bit more generalized, you put the numerator on the right and the denominator on the left. what do you have to multiply the thing on the left by to get the first part of the thing on the left, and if you cant do that with at least 1, move one to the right and start from there.
synthetic division? right so you put the weird vertically mirrored version of the division thing, you put the divisor on the left and the dividend on the inside. then you remove the x’s but you keep the coefficients. does that mean you get rid of the constant term completely? sure, why not, sounds right. so i put the number on the left under the first one and then i divide them? subtract them? who knows!, lets subtract them. and for the last bit you just put it on the right. right? sure. and now you just add back in the x’s from right to left, starting with x^0 and increasing from there. wait, this doesnt look right for the problem at all, hmmm…