How to Find the Remaining Factors When Given One Factor

Share this & earn $10
Brian McLogan
Published at : 22 Nov 2020
15976 views
138
9

Learn how to find all the zeros of a polynomial given one rational zero. 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 when one of the zeros is known, we use synthetic division to divide the polynomial with the given zero or we use long division to divide the polynomial with the given zero expressed in factor form. This gives the other factor of the polynomial, which can be further factored (if need be) using any of the techniques for factoring polynomials.

After we have factored the polynomial, we can then use the zero-product property to evaluate the factored polynomial and hence obtain the remaining 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.
#polynomials #givenfactorzero
how to findhow to determinedetermine

Police standoff taking place in Pleasanton

Police standoff taking place in Pleasanton

Camping Stereotypes

Camping Stereotypes

Salvation of the Soul - When Exactly Does that Occur?

Salvation of the Soul - When Exactly Does that Occur?

From a Robot's Perspective: Teaching Robots to Grasp

From a Robot's Perspective: Teaching Robots to Grasp

Fortuitous - Word of the Day with Lance Conrad

Fortuitous - Word of the Day with Lance Conrad

TRUSTSEAL® SFX - enhance your packaging with a customized 3D effect

TRUSTSEAL® SFX - enhance your packaging with a customized 3D effect

Bravo Niagara! Presents Menorah

Bravo Niagara! Presents Menorah

'The Last and Most Important Advice I Will Ever Give' Dr. Meyer Hillman | Extinction Rebellion UK

'The Last and Most Important Advice I Will Ever Give' Dr. Meyer Hillman | Extinction Rebellion UK

What to Do When Bad Becomes Unbearable | Jentezen Franklin

What to Do When Bad Becomes Unbearable | Jentezen Franklin

How to Transform Siege Voyager Class Megatron & Optimus Prime

How to Transform Siege Voyager Class Megatron & Optimus Prime

Chefs Vs Normals Taste Testing MORE "Christmas" Pretentious Ingredients

Chefs Vs Normals Taste Testing MORE "Christmas" Pretentious Ingredients

Years & Years - King (Official Video)

Years & Years - King (Official Video)

Come and See - Sight and Sound | The Cinema Cartography

Come and See - Sight and Sound | The Cinema Cartography

Ryzen Tech Talk

Ryzen Tech Talk

Mojotone '72 Wide Range Humbucker Demo and Comparison

Mojotone '72 Wide Range Humbucker Demo and Comparison

Thinking (live sesh) - Louis Cole

Thinking (live sesh) - Louis Cole

Improving Pikmin 4

Improving Pikmin 4

I.O.N - Ignored - (Instrumental) - Family Kamehameha

I.O.N - Ignored - (Instrumental) - Family Kamehameha

Hugh Grant on Being a Dad

Hugh Grant on Being a Dad

Self-Belief

Self-Belief

Kirby and Waluigi! - Scribble It with The Crew!

Kirby and Waluigi! - Scribble It with The Crew!

Best Marine Corps Promotion Ever!!!!

Best Marine Corps Promotion Ever!!!!

Trilok Gurtu -Living Magic 1991- track n°3 Once I Wished a Tree Upside Down

Trilok Gurtu -Living Magic 1991- track n°3 Once I Wished a Tree Upside Down

Why do people dislike the INTJ personality type? | CS Joseph Responds

Why do people dislike the INTJ personality type? | CS Joseph Responds

Floods imminent in Kosi river, Bihar govt orders immediate evacuation

Floods imminent in Kosi river, Bihar govt orders immediate evacuation

TOPPOP: Sailor - Traffic Jam

TOPPOP: Sailor - Traffic Jam

Chimps have feelings and thoughts. They should also have rights

Chimps have feelings and thoughts. They should also have rights

Queen - You're My Best Friend (Official Video)

Queen - You're My Best Friend (Official Video)

The Easiest Way to Develop Film at Home in 3 Minutes - Cinestill Df96 Review

The Easiest Way to Develop Film at Home in 3 Minutes - Cinestill Df96 Review

These 6 NBA Players Are Proving The Doubters Wrong

These 6 NBA Players Are Proving The Doubters Wrong

How to say "it depends" in japanese

How to say "it depends" in japanese

stylish and easy mehndi design/ beautiful hina design!!most trendy

stylish and easy mehndi design/ beautiful hina design!!most trendy

Many Makers in Mexico

Many Makers in Mexico

"90 Days strategy to crack NEET-PG " by Dr. Devesh Mishra.

"90 Days strategy to crack NEET-PG " by Dr. Devesh Mishra.

അരിപൊടി വെച്ച് വളരെ എളുപ്പത്തിൽ മുറുക്ക് ഉണ്ടാക്കാം || RICE FLOUR MURUKKU

അരിപൊടി വെച്ച് വളരെ എളുപ്പത്തിൽ മുറുക്ക് ഉണ്ടാക്കാം || RICE FLOUR MURUKKU

How to recognize poor vs. good quality in clothes (in 5 points) | Justine Leconte

How to recognize poor vs. good quality in clothes (in 5 points) | Justine Leconte

Best SPY HACKS You Should Know

Best SPY HACKS You Should Know

BEST OF FITZ 2017

BEST OF FITZ 2017

Without You : Jass Manak (Official Video) Satti Dhillon | Latest Punjabi Songs 2018 | Geet MP3

Without You : Jass Manak (Official Video) Satti Dhillon | Latest Punjabi Songs 2018 | Geet MP3

Dentist Filling A Cavity Between Teeth

Dentist Filling A Cavity Between Teeth

Minecraft UHC but there is GRAVITY towards the CENTER of the map.

Minecraft UHC but there is GRAVITY towards the CENTER of the map.

How to Register a Trademark (Brand) Successfully - Online - in the UK (Step by Step)

How to Register a Trademark (Brand) Successfully - Online - in the UK (Step by Step)

Seven Magic Mountains - Modern Art or Modern Eyesore?  You Decide - Please Watch for Rattlesnakes!

Seven Magic Mountains - Modern Art or Modern Eyesore? You Decide - Please Watch for Rattlesnakes!

The Salmon Of Knowledge

The Salmon Of Knowledge

This game wood bee so much better gta 5 if they up date on a regular basis

This game wood bee so much better gta 5 if they up date on a regular basis

What's Something Teens Think is Cool But Really Isn't? /AskReddit Reddit Stories  | Top Posts

What's Something Teens Think is Cool But Really Isn't? /AskReddit Reddit Stories | Top Posts

Atlas Genius - If So [Acoustic]

Atlas Genius - If So [Acoustic]

TDM Goes Wrong 2V4 |They think they can win 😂 || TNT ||

TDM Goes Wrong 2V4 |They think they can win 😂 || TNT ||

OPENING 2 YEARS WORTH OF LOOTCRATE BOXES!!! Found a Million $$$ Comic Book!

OPENING 2 YEARS WORTH OF LOOTCRATE BOXES!!! Found a Million $$$ Comic Book!