Factoring a polynomial completely

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

[syphic]

Thank you so much! I have been racking my brain trying to get my head around polynomials and this video was straight to the point.

[maestroconspiraciones]

Thank you you saved my life I had to do a Homework and This video of 2 minutes explained me what my teacher didnt in like 4 classes

[Sultan_A]

Very Good, Brian McLogan, Keep It Up! ✨🎉

[solpsychi]

this guy doesn't have to lift a single finger during online lessons...

[avakate]

📖Matthew 11:25‭-‬26 NLT📖

At that time Jesus prayed this prayer: “O Father, Lord of heaven and earth, thank you for hiding these things from those who think themselves wise and clever, and for revealing them to the childlike. Yes, Father, it pleased you to do it this way!

📖Matthew 11:27 NLT📖

“My Father has entrusted everything to me. No one truly knows the Son except the Father, and no one truly knows the Father except the Son and those to whom the Son chooses to reveal him.”

📖Matthew 11:28‭-‬30 NLT📖

Then Jesus said, “Come to me, all of you who are weary and carry heavy burdens, and I will give you rest. Take my yoke upon you. Let me teach you, because I am humble and gentle at heart, and you will find rest for your souls. For my yoke is easy to bear, and the burden I give you is light.”

[gabeyman]

A nice way to get into the christmas...I mean finals season.

[mannofscience]

thank you your videos saved me my teacher is genuinely terrible at teaching us

[moony_]

instead of (a^2-a-6), if the trinomial was let's say a bit more complex, we could use this formula: x = (-b ± √(b2 - 4ac)) / 2a, this will make the solving a little bit easier.