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

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To simplify and classify the polynomial 4x^2(–2x^2 + 5x^3), it should first be expanded to standard form, resulting in 20x^5 - 8x^4. The correct classification is a quintic binomial due to its degree of 5 and having two terms. Participants in the discussion emphasize the importance of careful multiplication and correct transcription of terms. There is confusion over the coefficients, particularly regarding the multiplication of constants. The overall goal is to clarify the polynomial's standard form and classification accurately.
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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!
 
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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?)
 
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