How To Find the Real Zeros of a Polynomial Function

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👉 Learn how to find all the zeros of a polynomial. 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, we first equate the polynomial to 0 and then use our knowledge of techniques of factoring polynomials to factor the polynomial. After we have factored the polynomial, we can then use the zero-product property to evaluate the factored polynomial and hence obtain the 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 term is equal to 0.

Organized Videos:
✅Zeros of a Polynomial by Factoring
✅Zeros and Multiplicity of Polynomials | Learn About
✅How to Find all of the Zeros by Sum and Difference of Two Cubes
✅How to Find all of the Zeros by Grouping
✅How to Find all of the Zeros in Factored Form
✅How to Find all of the Zeros by Factoring 5th Degree
✅How to Find all of the Zeros by Difference of Two Squares
✅How to Find all of the Zeros by Factoring 4th Degree
✅How to Find all of the Zeros of a 3rd Degree Polynomial
✅How to Find all of the Zeros Without Factoring

Connect with me:

#polynomials #brianmclogan
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Well I have never been great at math but I find videos like these a great tool for me to use. They are a refreshing change compared to reading a text book or being in an actual class room.

kingkong
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You're more helpful than my actual math teacher. Legend !

lzxdi
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I know I've commented on other videos of yours before, but sometimes I'm so mind-blown when I finally "get it, " I just have to let you know how much I appreciate your content. Thank you! A lot of academic help is blocked behind paywalls these days, so just know you're doing a great thing!!

HannahNewberry-ny
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That was the worst school “bell” I’ve ever heard in my life. That’s bringing a lot of unneeded extra stress into teachers and students daily lives.

brenttanner
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haha yea, sometimes calculus gets over the top. It's always when you look back you think math was easier and more fun

brianmclogan
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This review came in handy when I was trying to find critical points in the 1st derivatives. thanks.

kingkong
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go get it! let me know how you do, seriously

brianmclogan
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I posted a video on this, you will set the two function equal to each other and then solve for x. Let me know if this video helps. For some reason I cannot post it but if you search my channel the name of the video is 1.3 Find the value of x when two functions are set equal to each other - Free math videos

brianmclogan
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Thanks for the help! Really helpful especially when you got a math final tomorrow! ;)

OmarioWorld
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hello this video was so helpful :) but what do you do if you have to find the values of x for which fx = gx ? lets say gx = 3x+3

nanokd
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These videos are the only reason im not failing pre calc

zellmswag
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1:48 that’s an interesting school bell

Hdog
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how do I find zeroes for a equation with 5 terms [×^4 to (-8)]

supersurge
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I'm being asked to find the lower and upper bound on the real zeros of a polynomial function. Do you have a video covering this?

itsFarawaySkies
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I could do without Related Rate problems though lol.

kingkong