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MrGumby
The remainder is 3. 

You can get this by performing long division to answer the question. Since there is a remainder, it is not a factor. 

(2x-1) is not a factor of (2x²+3x+1).

Given:

Polynomial p(x)= 2x²+3x+1

Factor =(2x-1)

To find: the value of remainder r.

Need to know:

  • When the remainder is zero, both the quotient and divisor are factors of the dividend.
  • When the remainder is not zero, neither the quotient nor the divisor are factors of the dividend.

On following long division method consider,

(2x-1)⇒divisor

2x²+3x+1⇒dividend

You will get,

(x+5/2)⇒quotient

7/2⇒remainder

Thus, we see that the remainder is not coming to be 0.

So we can conclude that (2x-1) is not a factor of  (2x²+3x+1).

Learn more:

brainly.com/question/20215506

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