How do you factor a polynomial

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Learn how to factor higher order trinomials. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression.

Given a higher order trinomials with consecutive positive integer exponents or in such a way that the exponent of the middle term is half the sum of the exponents of the first and last term, then we can try factoring the polynomial by determining two terms whose product is the product of the first and the last terms and whose sum is the middle term of the original polynomial.

We can now replace the middle term by the two obtained terms and then complete the factoring by grouping.
#polynomials #factorpolynomials
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I never pay attention in math so the night before test day I come here. The next day when I take my quiz I pass it, every single time

originalgrandslam
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Me: *Looks at notes our teacher left us on factoring trinomials*
...
Brain: Brian McLogan time?
Me: Brian McLogan time

TheScaredLittleScholar
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I do pay attention in math and just struggle. Thank you so much for these videos. You really help me actually learn.

TedWasanason
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Who is here because your teacher literally does not explain things by himself?

Like, they have to put on the Godforsaken smartboard on and just make it more confusing?

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waya
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I just saw an ad where they said, "Are you still looking for math help from videos that are 10 years old?" And I"m like, "Yes, yes I am!" Thanks, Brian McLogan. You are a Godsend, 10 years ago as well as now.

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Honestly this video is a better teacher than my actual teacher, we barely just got more into this material and he’s already testing us, yet barely taught us or showed us any examples, thank you very much for this video, hopefully I pass this test tomorrow.

hhlccbh
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This was so helpful, my teacher taught us another weird ass method I dont know she got from

gel
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I wish you were my maths professor. I can't believe this is what I've been struggling to understand. I leave maths class more confused each day. Why can't they ever teach like this?

ijeomaifeanacho
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Omg. Thank you. I know there are tons of ways to factor... but this! Thank you so much. It clicked

MinnieLitty
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Always helpful. You just explain so smoothly and easily understandable. Truly a great and possibly the best math teacher

dvdied
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Your mathematics knowledge is taken for granted. More importantly, for me, your teaching ability = 10/10. Many thanks.

rogersanders
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My teacher is a good teacher, but I just can't follow along. When I watch one of your videos, it makes it a whole lot easier to follow along.

ItsBewareLOL
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I'm watching this at the lunch before my math final next hour, wish me luck guys

chriszaddack
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Who leaves class confused then watches this teacher and say now i get it. Thank you Mr.Mclogan

johnshank
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This has been the best explanation ive seen on factoring polynomials so far. Thank you!

DOiTAGAiN
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Thank you so much! Thats helps so much. I take an online class and my teacher was talking gibberish and you just translated it all.

jillianwinkelspecht
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May god send you to heaven Sir, thank you for saving our lives with these clear explanation videos!

DreamStudio.
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I love watching your videos! My math teacher does a wonderful job teaching. It’s just hard to learn in his class sometimes when there’s kids in my class that act like elementary kids. I understand the material. I’m a visual person though so it’s nice to watch some of the videos than looking at notes.

hollybaggett
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Needed a brush up for an exam, thanks for keeping it simple man

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