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That is a good question! I would say that the corresponding theorem for SSS postulate could be HL and/or LL. Either one (HL or LL) imply that the third sides of the right triangles (L or H) are congruent based on Pythagorean Theorem. Thank you for your comment.

@@csqmaththat is exactly right, I wrote the whole proof based on Pythagorean theorem and how LL can turn into SSS

@@Sisyphussa01 Thank you! I will take a look on your proof.

@@csqmath Triangle 1: leg a, leg b, hypotenuse c Triangle 2: leg x, leg y, hypotenuse z x = a and y = b Then sqrt(a^2 + b^2) = sqrt(x^2 + y^2) c = sqrt(a^2 + b^2) AND z = sqrt(x^2 + y^2) due to Pythagorean theorem So if sqrt(a^2 + b^2) = sqrt(x^2 + y^2), then z = c - we have two congruent triangles according to SSS. I know it overcomplicates the axiom, but it helped me put it into perspective instead of thinking, 'Oh, it's just because'.

@@csqmath just because SSS feels the most intuative and logical for the mind to compethend

Thank you! I saw it both ways.

Thank you!!

Thank you for your comment

Thank you!

hello

Thank you. Hope it helps.

thank you. Yes you are correct y=4 is the equation of the line of symmetry.

4:44 did you mean to put y=-0.5?

I am sorry for my hand-writing. I will try to be neater. Thank you for your feedback. I hope the clip helped.

Thank you

Glad it helped you. Thank you for your comment.

thank you for posting your comment. Good luck with your math homework

if you use the slope and y-int, then you start on y-axis from -4. Then from this point you go down one unit and right one unit. By doing these steps you get two points, the y-int, (0,-4) and (1,-5). Hope it helps. Thank you for your comment.

yes, the vertex of the parabola. It is not related to multiplicity. Sorry if that brings confusion.

yes, the vertex of the parabola. It is not related to multiplicity. Sorry if that brings confusion.

thank you

Thank you

thank you for your comment

Thank you

thank you

Thank you for posting your comment.

Thank you for taking your time and posting your comment.

Thank you!

Thank you for your comment. You are correct. None of these examples shows you the possible root is the actual root. These examples cover only the Rational Root Theorem which says about finding possible roots. Sometime, one or more possible roots are actual roots. In today days the best way to find the actual roots is using technology and graphing the equation or function. See the link below. If you use the rational root theorem, you will notice that some of the possible roots are actual roots. ruclips.net/video/3hGOyfT607s/видео.html Thank you again.

Thank you for your comment. You are correct. The quadratic formula has to be known by the time you try to solve polynomial equation. That is the reason I have just used the formula and not discussed it. You can watch several videos covering quadratic formula on my channel: Solving Quadratic Equations using Quadratic Formula on RUclips ruclips.net/video/GRnMwVICMHU/видео.html ​The Discriminant of the Quadratic Equation on RUclips ruclips.net/video/H2g1m9_hGo8/видео.html ​Quadratic Equations with Complex Solutions on RUclips ruclips.net/video/twt6yvG5uJs/видео.html Thank you again!

Thank you for noticing the mistake. I will update the description of the clip with your comment. If you find more mistake, I am sure you will, please let me know. Your help is a great tool for me and the other viewers. CSQ

I am sorry that this clip was not helpful. This clip was intended for a discovery activity for my students regarding “Multiple zeros and Multiplicity” and graphs of polynomial functions. My students were able to use Geogebra and get the concept. The concept is about the graphs of polynomial functions at the zeros. If the zero has an even multiplicity (2,4,6, etc.), the graph touches the x-axis and return. On the other hand, if the zero has an odd multiplicity (1,3,5, etc.), the graph crosses the x-axis. Finding the multiplicity is done by factoring the polynomial functions. The following clip is covering Polynomial Functions and Multiplicity of Multiple zeros. ruclips.net/video/s4pPQl666vU/видео.html If you found a clip that was helpful, please add it as a comment. I will like to share it with my students.

I am sorry that this clip was not helpful. This clip was intended for a discovery activity for my students regarding “Multiple zeros and Multiplicity” and graphs of polynomial functions. My students were able to use Geogebra and get the concept. The concept is about the graphs of polynomial functions at the zeros. If the zero has an even multiplicity (2,4,6, etc.), the graph touches the x-axis and return. On the other hand, if the zero has an odd multiplicity (1,3,5, etc.), the graph crosses the x-axis. Finding the multiplicity is done by factoring the polynomial functions. The following clip is covering Polynomial Functions and Multiplicity of Multiple zeros. ruclips.net/video/s4pPQl666vU/видео.html If you found a clip that was helpful, please add it as a comment. I will like to share it with my students.