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The cost (in dollars) in making b bracelets is represented by 4+5b. The cost (in dollars) of making b necklaces is represented by 8b+6. Write a polynomial in standard form that represents how much more it costs to make b necklaces than b bracelets.

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Answer:

[tex]P(b)=3b+2[/tex]

Step-by-step explanation:

The cost (in dollars) in making b bracelets is represented is

[tex]B(b)=4+5b[/tex]

The cost (in dollars) of making b necklaces is

[tex]N(b)=8b+6[/tex]

To find how much more it will cost to make b necklaces than b bracelets, we find the difference,

[tex]P(b)=N(b)-B(b)[/tex]

[tex]P(b)=8b+6-(4+5b)[/tex]

[tex]P(b)=8b+6-4-5b[/tex]

[tex]P(b)=3b+2[/tex]

This is a polynomial in descending powers of b, hence it is in standard form;