# Introduction to Factorising Difference of Squares

Transcript As the name says it’s pretty much the difference of two squares. If it’s a difference of two different types of squares, you can apply this method. So when I mean this I mean a squared minus b squared, so some number squared minus another number squared. If you have that and make sure […]

# Factorising Non-Monic Quadratic Trinomials: Common Factors

Transcript Okay! The key thing to these quadratics is to have a positive coefficient of x squared so I don’t want to have a negative in front of my x squared. So if you do have a negative, take out that negative like I did. So factorize by a negative. So this becomes positive, this […]

# Factorising Non-Monic Quadratic Trinomials: Perfect Squares

Transcript What I’m going to do? I’m going to start with 4x and 4x. Remember I said I usually like to start with the ones that are closer together. I don’t know I always have a tendency to start with the ones that are closer together because usually, they’re the right answer. So I’ll try […]

# Factorising Non-Monic Quadratic Trinomials: Mixed Signs

Transcript Now 30. I’m going to do the same thing, 7x squared that will be 7x times x. I put x and 7x onto my left-hand side. The reason why I’m doing that is because I can’t factorize any I can’t I don’t have any common factors, so I have to stick to this. And […]

# Introduction to Factorising Non-Monic Quadratic Trinomials

Transcript See here! This time we have acx squared in the beginning so a time some number c will be our factors or the coefficient of x squared and here we have a d, so a times d plus b times c in the coefficient of x and then finally constant will be b times […]

# Introduction to Factorising Monic Quadratic Trinomials

Transcript A monic quadratic basically a quadratic guy is something that has a power of two okay? So where the highest power is two. To see how in this type of expression, it has x squared where 2 is the highest power that’s called a quadratic and we are wanting to factorize that one. Now […]

# Factorising Quadratic Trinomials using Common Factors and Rational Coefficients

Transcript Okay! I don’t like fractions guys. What do I do when I don’t like these fractions? See guys if I want to rearrange this, well not rearranged. Kind of manipulate this, x squared over 12, it’s 1 over 12 x squared, isn’t it? If I just take if I just kind of separate with […]

# Factorising Quadratic Trinomials using Common Factors and Perfect Squares

Transcript Question 25 okay so, what’s the common factor this time guys? Must be 3, isn’t it? So I’m going to take it out by 3 and make sure guys you’re factorizing properly, make sure you don’t make silly mistakes in this step. So it’s going to be x squared plus 4x plus 4, okay? […]

# Factorising Quadratic Trinomials using Negative Common Factors

Transcript What’s the common factor guys? I know a lot of you will say three but in order to make this into a monic polynomial. We should take out negative three.Monic means one not negative one so you can’t have negative one as well. So if I take out negative three the whole thing with […]

# Factorising Quadratic Trinomials using Positive Common Factors

Transcript Okay! First of all guys, can you guys tell me what the common factor is that I can take out? So see at the moment, it’s not monic, it’s got two in front and you can see that two is a common factor. So I’m going to first take 2 out and use brackets. […]