Whole Numbers and Prime Factorization
This lesson covers the expression of whole numbers and decimal numbers in standard form. It includes finding prime factors of numbers up to 200, determining the least common multiple (LCM), and finding the highest common factor (HCF). Additionally, it addresses perfect squares and square roots using
- 09:44 “can two go in this, no, you start off with three, now, three into nine, that gives us what, three, it cannot go in 11, three can still go wrong, three, one, three into 11, cannot go, and the last one is 11, one, one, all...”
- 29:29 “gives us what, 15, the value says the least, the least of, look at the question, says, multiply, find the lowest number by which, 540, 540 can be multiplied by, so the question is, 540, how do you multiply it by, so you...”
- 06:35 “so we have what next order can go, four is not, five is yes, five, five can go in 11, five can go in five, one, five can go in five, one, last value remaining is what 11, 11, 11, 11, 11, 11, long division method, followi...”
Quadratic Equation and Roots
This lesson covers the formation of quadratic equations from given roots. It explains how to find the sum and product of the roots and demonstrates solving for unknown coefficients in a quadratic equation. Examples are provided to illustrate these concepts.
- 21:00 “and I'm going to have that so minus 16 over 3 yes so getting that evaluated you can now see that you're going to have a minus 44 over 9 minus 16 over 3 so with this your LCM remains 9 and you can go ahead to write minus...”
- 10:06 “B to be 3/4 so if that is done just go ahead and substitute into it however you need to come up with some ideas I think from here the sum will have to come out and the product will have to come out and then you get it do...”
- 19:19 “we refer to as reciprocal you invert it okay by inversion I can have minus 2 times 8 over 3 all right so this now leads me to something fantastic that I can do it right away yeah now that we have subset for this sum and...”