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Leni [432]
3 years ago
15

. Find two polynomial expressions whose quotient, when simplified, is 1/x . Use that division problem to determine whether polyn

omials are closed under division.
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

The two polynomials are:

(x + 1) and (x² + x)

Step-by-step explanation:

A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.

Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.

Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.

So,

Let's multiply both numerator and denominator by (x + 1) to get;

(x + 1)/(x(x + 1))

This gives; (x + 1)/(x² + x)

Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.

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A square has an area of 64 m². What is the length of each side?
anygoal [31]

Answer:

8m

Step-by-step explanation:

The area of a square is length*width.

We can square root the area to get the length of each side. Since the shape is a <em>square</em>, the lengths are the same.

\sqrt{64}=8

One side is <u>8m</u>.

7 0
3 years ago
B/3 + 1/7=13 can someone tell me what b is , thanks :))
nikklg [1K]
B is 4 thats what i got
4 0
2 years ago
the music booster sell 322 music buttons and raise $483 for the music departemen how much does each button cost
nirvana33 [79]
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6 0
2 years ago
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A + 3 + 2a = -1 + 3a + 4
Verdich [7]

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8 0
3 years ago
Solve for x: 4 over 5 x + 4 over 3 = 2x x = __________________ Write your answer as a fraction in simplest form. Use the "/" sym
Vesna [10]
4/5x + 4/3 = 2x....there are 2 ways to do this...one with fractions, one without.

with :
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4/3 = 6/5x
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20/18 = x
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without :
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12x + 20 = 30x
20 = 30x - 12x
20 = 18x
20/18 = x
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5 0
3 years ago
Read 2 more answers
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