How to Find Remaining Factors When Given One Factor, Synthetic Division

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👉 Learn how to find all the zeros of a polynomial given one rational zero. 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. The zeros of a polynomial are the values of x for which the value of the polynomial is zero.

To find the zeros of a polynomial when one of the zeros is known, we use synthetic division to divide the polynomial with the given zero or we use long division to divide the polynomial with the given zero expressed in factor form. This gives the other factor of the polynomial, which can be further factored (if need be) using any of the techniques for factoring polynomials.

After we have factored the polynomial, we can then use the zero product property to evaluate the factored polynomial and hence obtain the remaining zeros of the polynomial. Recall that the zero-product property states that when the product of two or more terms is zero, then either of the terms is equal to 0.

Organized Videos:
✅Find all the Remaining Zeros Given a Factor or Zero
✅Find all the Remaining Zeros Given one irrational Zero
✅Find all the remaining zeros given one complex zero
✅Find all the remaining zeros given one rational zero

Connect with me:

#polynomials #brianmclogan
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i wish this guy was my math teacher. There are always so many ppl in my classes that get so confused. I really think that someone like this could really help them out.

connorhill
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your literally my teacher since mine doesn’t even teach

soobinxzer
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you have saved my rear end in algebra so many times. thank you yet again

johnzeitouni
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thank you for making this channel. I understand how to solve the problem in around 5 minutes time by watching your video than my regular 40mins period..

healthybarbie
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This is literally better than my tutoring and algebra class combined

victoriarose
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You are a great teacher please keep posting videos like this one!

TheSaw
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This man literally helps me more than my math teacher lmaoo thank uu

marissagranillo
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Thank you so much, you made this so easy to understand HAHA you are saving my grades!!

franksfurryfrog
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I study in a ICSE board in Man u are still so important... I understand every single step... Awesome.... Keep going

nishadathalye
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This is really going to help me with my Math test THX :D

rustlord
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It's so great and helpful thankyou🙏

manleyrobin
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i don't understand where that 3 came from is it from the factor?

frostbyte
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thank you...it helped me a lot...good and easy tutorial to understand..

dhruvanichappidi
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How did you go from listing your Remainder, constant, linear, quadratic to that next step?

HiimDavin
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your videos are so helpful thank you so much!

mariaikas
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Thank you so much! I had a homework question like this and you totally helped me out!

XxreiraxX
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Ok but why does your example has the SAME EXACT math on my book that I was stuck in?🤯

reverie
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This is so much more helpful my professor is fucking awful at explaining I'm bout to fail cause I have to teach myself everything

jacobmarks
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How did you get the 3 would that be the factor?

xzeillzx
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What is the name of this method can anybody tell?

Sagardeep_Das