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Solnce55 [7]
3 years ago
5

Let p(x) and q(x) be polynomials as shown below.

Mathematics
2 answers:
stiks02 [169]3 years ago
5 0
<span>.product of two polynomials is a polynomial.</span>
nydimaria [60]3 years ago
4 0
<h2>Answer:</h2>

Option: D is the correct answer.

        D.   The product p(x) and q(x) is a polynomial .

<h2>Step-by-step explanation:</h2>

We are given two polynomials p(x) and q(x) as follows:

p(x)=a_0+a_1x+a_2x^2+....+a_nx^n

q(x)=b_0+b_1x+b_2x^2+......+b_mx^m

Now we do not know the degree of p(x) and q(x) i.e. we do not know the value of m and n respectively and also the coefficients.

Hence, we can't say that the product of these two polynomials is a real number, binomial (i.e. polynomial of degree 2) or a integer.

But we know that the product of two polynomial is always a polynomial may be a constant polynomial , zero polynomial or a polynomial of degree n.

    Hence, the product of p(x) and q(x) is a polynomial.

 

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Avi uses 11 toothpicks to form a row of 5 attached triangles, as shown. Suppose he continues this pattern, using 89 toothpicks i
Pavel [41]

Answer:

44

Step-by-step explanation:

Given that Avi used 11 toothpicks to form a row of 5 attached triangles.

Total number of toothpicks used = 89

Let the total number of triangles formed be represented by x, so that:

11 toothpicks = 5 triangles

It would be observed that only the first triangle starting the pattern has 3 toothpicks. So that;

the average number of toothpicks for 1 triangle = \frac{11}{5}

                                  = 2.2

The number of toothpicks per triangle = 2.0

Thus,

x = \frac{89}{2.0}

  = 44.5

x = 44

The total number of triangles formed is 44.

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39.7 times 100, or:

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