Solving Factorable Polynomial Inequalities Algebraically Part 2

This lesson shows how to solve linear inequalities and some factorable polynomial inequalities algebraically. This is the second part of a two part lesson. This lesson was created for the MHF4U Advanced Functions course in the province of Ontario, Canada.

[craxtion]

excellent explanations
thanks a lot man

[cheezypotatoes]

Fantastic lesson. Easy to follow and very clear. Thank you for having it on here for convenience.

[sadafbenaf]

As your other clips, this one is also fantastic. I love it where you do not miss mentioning the smallest detail (ie changing the sign, or where did the x+3 come from) which makes math a hell if missed. A billion Thanks!

[sarazuu]

are zeros also the roots of a function?

[AlRichards]

@cmollfulleda I'm getting an error when trying to respond to your comment and you have user-lock enabled so I can't email you either.

[sarazuu]

Respond to this video... so since we are solving for x in this inequality, are we solving for the x-intercept of this function?

[spxmt]

does anyone know if its necessary to put say for example x=-3 as an interval?

[AlRichards]

@sarazuu Yes, you need to find the x-intercepts and they divide the number line into intervals on which you search for where the polynomial is positive or negative.

[AlRichards]

@sarazuu Yes, that's exactly correct. The terms "zeros" and "roots" of an equation are interchangeable.

[AlRichards]

In synthetic division you multiply and add. It's long division where you subtract.

[Bubblevicious]

Thank you for uploading this video, it really helped out a lot.

[AlRichards]

An interval is all the numbers between 2 different numbers, for example -3 < x < 5 is all the numbers between -3 and 5. x = -3 is called a point since it's only 1 number. So we wouldn't call x = -3 an interval.

[TheWarmLemons]

The soloution to the last problem could also be written in interval notation as (2, 4). Is that correct?

[AlRichards]

Yes, that's correct, you could have writtenm it as (2, 4).

[cmollfulleda]

what about 2x^3+x^2-^x > 0???? thenumber you would get to getthe factors is zero? now what?

[oludolapokehinde]

I though synthetic division was multiply and subtract