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ludmilkaskok [199]
3 years ago
6

Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer

in descending powers of x. (x3 + 6x2 + 3x + 1 ) ÷ (x - 2)
Mathematics
2 answers:
Natalija [7]3 years ago
7 0
X^2+8x+19+39/(x-2)
I cant show how to use synthetic unless I attach a file
Gnesinka [82]3 years ago
3 0

Answer:

[1.(x)²+ 8.(x) + 19] + \frac{39}{(x - 2)}

Step-by-step explanation:

The given polynomial is (x³+ 6x²+ 3x + 1) and we have to divide this polynomial by (x - 2) using synthetic division.

In synthetic division, we divide coefficients of the given terms of the polynomial by (x -2) = 0 ⇒ x = 2

So,      <u>2</u>|      1       6        3         1         ---------[ coefficients]

                   <u>         2       16       38       </u>

                   1       8        19       39

Let me explain it. In first row i have written the coefficients of the terms given in the polynomial 1.x³ + 6.x² + 3x + 1

In the first row I have written 2 in the left side before 1. This is the number by which i am going to divide the coefficients written in the first row.

Now I copied 1 at the bottom (below the line).

Then 2×1 = 2 (written in second row) added with 6 gave 8 at the bottom.

then 8×2 = 16 (written in second row) added with 3 gave 19 at the bottom.

19×2 = 38 (written in second row) added with 1 gave 39 at the bottom.

Now we will rewrite the expression

[1.(x)²+ 8.(x) + 19] + \frac{39}{(x - 2)}

Here highlighted part give in the bracket is the quotient and 19 is the remainder.

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Step-by-step explanation:

3 0
3 years ago
Solve and check: 3 x2 + 5x + 6 + x − 1 x + 2 = 7 x + 3
vagabundo [1.1K]

Answer:

3x^{2} -2x +5=0

Step-by-step explanation:

Combine liked terms:

3x^{2}+5x+x-1x+6+2=7x+3

3x^{2}+6x-1x+8=7x+3

3x^{2}+5x+8=7x+3

Subtract 3: 3x^{2}+5x+8-3=7x+3-3

3x^{2}+5x+5=7x

Now subtract 7x:

3x^{2}+5x+5-7x=7x-7x

If you want combine liked terms:

3x^{2}-7x+5x+5=0

3x^{2}-2x+5=0

Hope this helps!

5 0
3 years ago
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7 0
3 years ago
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Solve 9 is subtracted from 2 times the sum of 7 and 4<br><br><br><br>​
Goshia [24]

2×11+9

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This the the way to solve this answer

3 0
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Help me with a math question plz
Kruka [31]

Answer:

x = 80

Step-by-step explanation:

Thank you for the clear diagram. We don't always get them.

Argument

There are two kinds of angles associated with a triangle

  1. Interior angles
  2. Exterior angles

You have both kinds in this question. The interior angles are the ones that make up the triangle itself. The ones you are concerned about are x and 38°.

The other kind is formed by extending one of the sides. In this question, the value of the exterior angle is 118°.

Rule

The two interior angles NOT connected to the given exterior angle are equal (when added) to the exterior angle.

In plain English what that means is

x + 38 = 118

Solution

x + 38 = 118                      Subtract 38 from both sides.

x + 38 - 38 = 118 - 38      

x = 80

So x = 80  

4 0
2 years ago
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