Finding the polynomial when given three zeros - Online Tutor

👉 Learn how to write the equation of a polynomial when given rational 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.

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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[ninal]

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[heycrazyoverthere]

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[Nupator]

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[brianmclogan]

awesome happy to help. I am teaching three sections of Algebra 2 this year, so you should expect a lot of videos. All of my algebra 2 videos are labeled Module

[bradhammer]

Took my Algebra 2 teacher 2 90 minute periods to teach this and I Still didn't understand. You did it in 3 minutes and explained it perfectly! Thank You!

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[sirpineappleiii]

Taught me more in a 4 minute video than my math teacher does in 2 hours. Much Appreciated!

[brianmclogan]

nothing, I am writing the formula when given the zeros for this problem but I should have written p(x) at the end instead of 0. The formula is correct you take the zeros and write them as factors then multiply

[morganfriedholdt]

You are the only reason I’m passing my pre cal class.

[thecheck]

After 3 months of being confused, it was this easy this entire time? And the video didn’t even make me want to cry.

[Mysteri]

I am saved. Thanks for your help, my teacher just talks in air for PreCalc and expects us to finish everything.

[chancetanner]

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[mikhailmarrero]

This was tremendous help, the simplicity in which you break it down to allowed a breakthrough to occur and I understoood it!

[Chockrit]

Just want to note, the solution you give to the question produces *one* polynomial with those roots, but there are infinitely many more. I get that this is an intro lesson, but it's important to consider that there are way more degrees of freedom.

d*X^a(X-3)^b(X-4)^c is valid for any integers (a, b, c) > 0 and any real number d != 0. You could also add as many complex roots as you like without breaking the requirement that it has at least roots {0, 3, 4}

[someperson]

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[goatedzoe]

bruh my teacher literally explains this in the most complicated way which makes it so hard to learn but u just explained it so well and in just 3 minutes. Thank you so much!

[yashikasingh]

You make it soo easy
Its so easy for class