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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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Step-by-step explanation:

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3 years ago
Please find the surface area of the sphere. Round your answer to the nearest hundredth.
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4 years ago
A positive integer is 4 more than 12 times another. Their product is 5896. Find the two integers.
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8 0
3 years ago
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Please help! With steps included :)
Len [333]

Answer:

Top question: -7°

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Step-by-step explanation:

Top question:

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x + 46 = 39 because the base angles of an isosceles triangle are congruent

x + 46° = 39°

x = -7°

Bottom question

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3x + 3x + 4x = 180°

10x = 180°

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Sorry for the late post!

-Chetan K

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