How Do You Simplify and Classify the Polynomial 4x^2(–2x^2 + 5x^3)?

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Homework Help Overview

The discussion revolves around simplifying and classifying the polynomial expression 4x^2(–2x^2 + 5x^3). Participants are tasked with writing it in standard form and identifying its degree and number of terms.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to expand the polynomial and classify it based on the results. Questions arise regarding the correctness of the answers provided and the multiplication involved in the simplification process.

Discussion Status

There is an ongoing exploration of different answers, with some participants providing corrections and tips. The discussion reflects a mix of attempts and clarifications, but no consensus has been reached on the correct standard form or classification.

Contextual Notes

Some participants express confusion over the multiplication process and the accuracy of the answers listed. There is also a note about ensuring clarity in the expressions shared.

jellerboo
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Write 4x^2(–2x^2 + 5x^3) in standard form. Then classify it by degree and number of terms.
a.
2x + 9x^4; quintic binomial

b.
20x^5 – 8x^4; quintic binomial

c.
2x^5 – 8x^4; quintic trinomial

d.
20x^5 – 10x^4; quartic binomial

if someone could help me change it to standard form asap that would be super:rolleyes:
thanks!
 
Last edited:
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why isn't it b? multiply it out.
 
okay ill try again
i just keep getting different answers
 
Yes, it's not b: because (4)(5)= 20, not 2! And what is (4)(-2)?
 
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thanks for the tips
this is my first time posting and ill try to make things easier to read
ill also try not to give up
 
quintic binomial =]
 
Are you sure you've copied the answers correctly? "-8x^4" would make a whole lot more sense than "-8^4"!

(You edited to make it clearer. Did the 'x' disappear when you did that?)
 
Last edited by a moderator:

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