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AysviL [449]
3 years ago
6

The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). What is the polynomial?

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
7 0

Answer:

x^2-x+1

Step-by-step explanation:

We are given that

Dividend=x^4-3x^2+4x-3

Quotient=x^2+x-3

We have to find the divisor.

Let the polynomial =p(x)

\frac{x^4-3x^2+4x-3}{p(x)}=x^2+x-3

p(x)=\frac{x^4-3x^2+4x-3}{x^2+x-3}

Hence, the polynomial =p(x)=x^2-x+1

Answer: x^2-x+1

suter [353]3 years ago
4 0
The right answer for the question that is being asked and shown above is that: "x2 – x + 1."The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). The polynomial is this one: <span>x2 – x + 1</span>
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
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Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
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xz_007 [3.2K]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
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Can you post the question or image
8 0
3 years ago
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What transformation takes the graph of f(x)=3x+8 to the graph of g(x)=3x+6 ?
Nostrana [21]

Answer:

Translation 2 units downward

Step-by-step explanation:

If we start with the graph of f(x) = 3x + 8 and translate it 2 units downward, we'll end up with the graph of g(x) = 3x + 6.  Note:  8 - 2 = 6.


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3 years ago
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