# MPM2D1-02 Applying factoring: finding roots of quadratics 2016-12-01

We applied our factoring skills to convert quadratic equations in Standard Form ($y=ax^2+bx+c$) to Factored Form ($y=a(x-r)(x-s)$). It’s the same process as we’ve been using for factoring expressions, but there’s an extra step at the end to factor out any coefficients on the linear terms. For example, if you factor an equation and get to this point:

$y=2(3x-1)(5x+2)$

you can then factor out 3 and 5 from the binomial factors:

$y=(2)(3)(5)(x-\frac{1}{3})(x+\frac{2}{5})$

$y=30(x-\frac{1}{3})(x+\frac{2}{5})$

This is in factored form, and you can read the roots: $(\frac{1}{3},0)$ and $(-\frac{2}{5},0)$.

For class/homework, convert these equations to Factored Form:

$y = \frac{3}{2}x^2-\frac{11}{4}x-\frac{7}{4}$

$y = -14x^2-49x+343$

Enjoy!

# MPM2D1-01 Factoring Complex Trinomials 2016-12-01

We worked yesterday and today on factoring complex trinomials using the Decomposition method. It’s very similar to the technique we used for simple trinomials.

Here are the questions you had for classwork/homework:

Spend around 20 minutes on these tonight.

Want a video? This one’s a bit windy, but I suppose it’s better than nothing. I explain in even MORE detail how/why everything works. I’ll put together something cleaner someday… if you have one that’s better, let me know and I’ll share it here.

Want more examples?

# MPM2D1-01 Factoring more simple trinomials 2016-11-29

We had a quiz, then practised factoring more simple trinomials:

Don’t forget that if there is an $a$-value that is not 1, you might be able to factor it out first! This is your homework, too.

# MPM2D1-02 Factoring Complex Trinomials 2016-11-29

We worked on factoring complex trinomials today using the Decomposition method. It’s very similar to the technique we used for simple trinomials.

Here are the questions you have for classwork/homework:

Spend around 20 minutes on these tonight.

Want a video? This one’s a bit windy, but I suppose it’s better than nothing. I explain in even MORE detail how/why everything works. I’ll put together something cleaner someday… if you have one that’s better, let me know and I’ll share it here.

Want more examples?

# MPM2D1-02 Factoring more simple trinomials 2016-11-28

We practised factoring more simple trinomials:

Don’t forget that if there is an $a$-value that is not 1, you might be able to factor it out first! This is your homework, too.