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Perplex
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Polynomials
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Polynomial roots
Mixed Practice
Polynomials

Polynomial roots

0 of 0 exercises completed

Sum and product of polynomial roots and the conjugate root theorem.

Want a deeper conceptual understanding? Try our interactive lesson!

Degree n polynomial has n roots
AHL 2.12

A polynomial with degree ​n​ has ​n​ roots. These roots are not necessarily distinct, and not always real.

Sum and product of roots
AHL 2.12

For a polynomial's roots:

​
the sum is an​−an−1​​📖\\ \\the product is an​(−1)na0​​📖
​
Conjugate root theorem
AHL 2.12

For a polynomial with real coefficients, if a complex number ​z​ is a root, then the conjugate ​z⋆​ must also be a root.

Nice work completing Polynomial roots, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!
/
Polynomials
/
Polynomial roots
Mixed Practice
Polynomials

Polynomial roots

0 of 0 exercises completed

Sum and product of polynomial roots and the conjugate root theorem.

Want a deeper conceptual understanding? Try our interactive lesson!

Degree n polynomial has n roots
AHL 2.12

A polynomial with degree ​n​ has ​n​ roots. These roots are not necessarily distinct, and not always real.

Sum and product of roots
AHL 2.12

For a polynomial's roots:

​
the sum is an​−an−1​​📖\\ \\the product is an​(−1)na0​​📖
​
Conjugate root theorem
AHL 2.12

For a polynomial with real coefficients, if a complex number ​z​ is a root, then the conjugate ​z⋆​ must also be a root.

Nice work completing Polynomial roots, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!

Generating starter questions...

Generating starter questions...