Finding the polynomial with irrational zeros

👉 Learn how to write the equation of a polynomial when given irrational zeros. Recall that 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. Also recall that when the square root of a number (irrational zero) is a zero to a polynomial, the conjugate of the irrational zero will also be a zero to the polynomial.

To write the equation of a polynomial, we write the given zeros in factor form and expand the product of the factors. Thus, given a, b, . . . as zeros to a polynomial, we write the equation of the polynomial by expanding the factors (x - a)(x - b) . . . = 0

Organized Videos:
✅Write the Equation of a Polynomial Given the Zeros
✅Write the Equation of a Polynomial Given Complex Zeros
✅Write the Equation of a Polynomial Given Zeros with Fractions
✅Write the Equation of a Polynomial Given Real Zeros
✅Write the Equation of a Polynomial Given Irrational Zeros
✅Write the Equation of a Polynomial Given Imaginary Zeros
✅Write the Equation of a Polynomial Given Zeros | Learn About

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[kadiatoudiallo]

I’ve literally been struggling with finding the polynomial function when given irrational zeros, and my teacher had given me an assignment on it. I followed your steps for my own problems and ended up getting them all correct. Thank you so much.

[shenyantheawesomewit]

U are a god among math teachers. Bless u lol

[brianmclogan]

awesome that was really quick i didn't even get a chance to title it! Will do soon. thanks for watching

[Budderkid]

This is an awsome teacher that help me with the homework thanks

[GreaterDeity]

Report to the library for benefits Brian! :D lol

[JamesSkaggs]

Thank you so much, You show it in a different way in which i can understand thank you for putting your video up!

[davidlopez]

Thank you so much Brian, you dont know how much i was struggling with this topic. This video was understandable and simple.

[cuteangadkripa]

This made my homework easy....its due in 30 mins. Lets hope i get it done. 

[yeah_this_is_it]

LOL my husband is like oh that teacher with the intercome lady 🤣

[eduardomoreira]

Can you do a video on solving for the zeros of an equation which have irrational values for the zero . I tried to solve for the zeros of an equation but then realized that the values were popping up as irrational numbers on the calculator. How do you solve for this by hand.

[bandaralhazemi]

keep going bro, you're intelligent 

[nalder]

is he actually teaching a class because if so they are completely silent.

[keithhudson]

Mr. McLogan, in addition to t-shirts, please do some hats. I've told you before, I'm your infomercial out here at Santa Monica College out here in SoCal. Make some hats, and I'll have everyone at SMC sporting them. Thanks again for all the help you have given me; especially with this clip.

[snachnani]

This is extremely helpful, but what about finding the slope?

[JericoEmmanuelRReyes]

what if from the beginning,

x = 4 + sqrt5
x - 4 = sqrt5
*squaring both sides we get*
(x-4)^2 = 5
x^2 - 8x + 16 = 5
x^2 - 8x + 11 = 0 or
x^2 - 8x + 11 = f(x)

[SuperBlablablaxxx]

bless this channel, my teachers old and dying

[LeifCreswell-]

This school has the most loudspeaker announcements OF ALL TIME

[ahmedgwary]

DOES HE FIGURE OUT THAT HE SWITCHED DID THE +10 WRONG???

[reenuag]

thank you so much..i really appreciate this!!

[skingthemystery]

Thanks for the help, I'm actually learning this stuff in college currently