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Rufina [12.5K]
3 years ago
8

Xavier said the product of a monomial and a binomial will always be a trinomial. Explain the error in his reasoning.

Mathematics
2 answers:
sergejj [24]3 years ago
5 0

All that is needed is a single counter-example.

One counter-example is to multiply the monomial x^3 with the binomial x^7-10x^4

We then get...

x^3*(x^7-10x^4) = x^3*x^7 + x^3*(-10x^4)

x^3*(x^7-10x^4) = x^10 - x^7

The result we get is a binomial as there are still only two terms here. We would need three terms to have a trinomial.

drek231 [11]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

Each term in the binomial ( there are 2 terms, by definition) is multiplied by the single term (monomial) so the answer will be  another binomial.

For example:

2x (x - 6)

= 2x^2 - 12x.

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HURRY!!! PLEASE HELP WITH QUESTIONS!!!! WILL MAKE BRAINIEST ANSWER!!!!
steposvetlana [31]

Answer:

#1) D.$623.52  ; #2) D.17.1 ; #3) B.II and III ; #4) C.A greater availability of ATM's may make it easier to do bank transactions. Someone may choose this availability over a higher savings interest rate; #5) B.Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time; #6) D.Make purchases or get cash now, and pay back the bank in monthly payments; #7) T; #8) B.Thursday ; #9) B.$1,545.83

Step-by-step explanation:

#1) 6.2% of her gross pay would be

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1.45% of her gross pay would be

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22% of the state tax withheld would be

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The given numbers ordered from least to greatest is:

{√7 , 2.8..., π, √17,  4.6}

<h3>How to order the numbers from least to greatest?</h3>

First, we need to write all the given numbers in decimal form so we can accurately compare them.

The numbers are:

{4.6, √7, π, 2.8..., √17}

Rewriting all of these in decimal form:

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Then the numbers are:

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Now is easier to order these numbers, ordering them from least to greatest we will get:

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Now, using the original notation we get:

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If you want to learn more about ordering numbers:

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