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Rufina [12.5K]
4 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]4 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]4 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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Step-by-step explanation:

To solve any(technically most, but still...) algebraic equation you must isolate the variable.  In this case, the first step would either be to divide both sides of the equation by 3/4, or distribute 3/4 to x and -8, as you cannot modify the contents of the parenthesis without removing the 3/4.

Hope it helps and lmk if you further explanation <3 :)

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3 years ago
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Step-by-step explanation: -4,-5 is an x-y coordinate.

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3 years ago
Item 15 Fill in the blank so that the ordered pair is a solution of y=12x+2. ( , 14)
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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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