Factorization of Algebraic Expressions
This lesson covers the factorization of simple algebraic expressions and quadratic expressions. It includes methods for identifying factors and solving related word problems.
- 17:20 “Someone would say, how do we make that possible? Now, the first thing is, let's pick the question. We have the question is x square plus 8x plus 16. Take note of this and take note of this, very, very important. When you...”
- 16:34 “the perfect square. So with that, I will give you a exercise to do the expansion. That's opening of bracket for the second and for the third. So I've been able to open the bracket, this means they are 2. So a minus b, a...”
- 14:01 “This is where the values or the unknown has a square. That means it has a power of 2, but look at that. We have three identities in what, in quadratic, a plus a square gives a square plus 2 a b. Plus b squared. How does...”
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.
- 23:29 “48 over 6 and for you know you can get that to be 8 and if alpha cube is going to 8 so therefore your alpha is actually 2 because 2 is the cube of 8 so I mean the cube root of 8 is 2 or 2 is the cube of 8 so if alpha is...”
- 15:16 “takes me to the real expansion of returns but I still have a thing to do here if I find here or some of this that gives me alpha plus beta everything squared alpha plus beta everything squared I mean alpha beta everythin...”
- 00:00 “Hello everyone, my name is Farahini E.C and I am your Mathematist teacher for today. The topic before us is Choretic Equation and we have the objectives here. In this case, you need to be able to identify the sum and pro...”
Roots of Quadratic Equations
This lesson covers how to find the sum and product of the roots of a quadratic equation. It also explains how to form a quadratic equation given the roots and states the conditions for equal roots, real roots, and no roots. Additionally, it discusses the relationship between a line and a curve in te
- 00:02 “Hi, everyone. My name is Fawahimi EC, and I'm your Math Teacher for this session. The topic we're gonna have this time around is finding the roots of a quadratic equation, and also forming a quadratic equation given the...”
- 19:11 “through the terms, so that I can clear the fractions, all right? So if I multiply through multiply true by 10, okay? That leads me with 10 x squared, okay? Then if I have to multiply 19 x over 10, then a 10 goes away, th...”
- 06:35 “If I want to, maybe I should just bring you into this. Look at, if I have this to be a quadratic equation, as I just put on the board for you. And I have said this is also a quadratic equation. X squared minus alpha plus...”
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
- 21:33 “that's 49, eight rest of part two, that's 64, nine rest of part two, that's 81, and 10 rest of part two, that's 100, so if you now have 11 rest of part two that's 121, two, and 12 rest of part two, that'll be 144, so it...”
- 22:20 “moved for the next, remember we started from square to perfect square then to square root, the three are they are together, so moving up I have square root, so if I have the square root of 49, it means that what I'm simp...”
- 19:08 “by itself, that's a square, if you look at the box carefully, you can add that box carefully, you would observe that how many boxes do we have, that means, size times size of the blue, there's two sides, how many two sid...”
Gravitational Force and Fields
The lesson covers the concept of gravitational fields and the laws of gravitational force as proposed by Isaac Newton. It explains the relationship between masses and the distance between them in determining gravitational force.
- 14:22 “Now, I can take care of this and also take care of this. I have it as what's R, which we give us as what's VX square is equal to G M over R. Like I said before, I can substitute the M to be the mass of the X. Then, I'll...”
- 23:31 “this as F is equal to 6.67 times 10 to the power minus 11 times, this time this we give us 42, 1, 2 we give us 1, 2 over 0.2 or square, now from this side I can take care of this as 1, 2, 2 or this one we are taking off,...”
- 18:29 “Alright, from this place now, we have that what the V square, which is equal to 2G M over R. Now, make V, the subject of the formula, we have the V is equal to the square root of 2G M over R, we give us this, now, let's...”
Rational and Non-Rational Numbers
This lesson covers the identification of rational and non-rational numbers. It explains the characteristics of different number sets, including natural numbers, whole numbers, and integers. The lesson also discusses the significance of the number PI in relation to circles.
- 09:32 “They don't have two points. You have examples of rational numbers, number one, decimals. Decimals, they have indefinite numbers of decimal digits, of which none are we occurring. So for example, you have 2.5566 and just...”
- 16:41 “Now, look at that question number 2. We have question number 2. Question number 2 says, calculate the ratio of the area to the square of the radios. Calculate the ratio of the area to the square of the radios. Now, how d...”
- 19:46 “Thank you very much, we've come to the end of this class. I remain Oyase Ose Sunday. See you in the next class.”
Trigonometric Ratios
This lesson covers the identification of sine, cosine, and tangent of an acute angle. It explains how to apply these trigonometric ratios to solve problems involving distances and lengths in right-angled triangles. The relationship between the sides and angles of triangles is also discussed.
- 14:14 “that is given, then your hypotenuse. So, I could read, you could know, the particular one to apply. They are designed to cause all the time. Thank you very much. We've come to the end of the class. My name is Oyase Sunda...”
- 05:05 “is a right angle triangle given in this form. Let's have a right angle triangle given drawn down. The longer side which is the hypotenuse. The longer side is given to be what? 20. This opposite is 12. Opposite to the ang...”
- 13:29 “Now, 6 meter. The line of the side, line of side distance from point A to the top of the building, that's point B, is X. The line of side, the line at which it looks at the top of the building is X, which is unknown. Now...”