Write the equation of polynomial given two radical roots.

👉 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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[Categoricalimperative]

You're the best sir. This is legit the exact question I am having trouble with on my homework right now. I been learning from you from EIGHT GRADE and I'm a senior now. Thanks a lot man

[a.m.]

This guy is probably the coolest math teacher

[gh]

Thank you so much! I was absent a day and didn't get the notes for the homework and this helped me out!

[bantam]

I rarely comment on videos, but THANK YOU. This was extremely easy to understand and literally SAVED me!!

[louisaneudorf]

I had a homework question similar to this one and could not find any of my notes on this. Thanks for explaining, it helps me out a lot!

[mitchellroy]

Brian coming in clutch, I kept trying this with the quadratic formula and thought it had something to do with the unit circle. Made no sense to me but now I realize I was going way too deep

[zachcglontz]

Awesome man! This is exactly the problem is was looking for. I think you all use the same book as our teacher. Thanks

[melissaromero]

wow. I came here because I was struggling really bad on my homework and you explained it perfectly.

[mollyrizor]

10y ago? This is still so helpful, thank you

[sandraowens]

Brian, this is a really cool trick, but it would be so much better if you followed through with the subtraction.
You've left out the closing parentheses on both of the factors, then you say you're going to use the associative property, but let's be truthful here, subtraction isn't associative! Luckily it works out correctly because the terms here are conjugates, but in general this trick would cause serious mistakes. Do your students a big favor and show them WHY you can skip all the details and still get the right answer!

[skingthemystery]

Great guide, super helpful and comprehensive

[ddy]

Bruh, he knows everything. Thank you so much you helped me so much with my homework

[jiaasayang]

Now I get it! Thanks sir! You just save my life!!!

[mixon]

You're awesome bro, you just helped me on my algebra test

[septube]

where did you get the 2x from? 2 is no where in the problem.

[Jaxonyogi]

which topics are imporant in the histor of maths and physics ? i mean the basics and the key like algebra ?/???

[RathArtello]

what if you are given two radical roots but also a point that the graph has to go through?

[janapostic]

i wish this guy was my math teacher tbh

[MsWeberMath]

Associative property with subtraction? works because of the nature of conjugates, but breaks the rules.