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HACTEHA [7]
3 years ago
14

How do you solve (x3 + 6x2 + 3x + 1 ) ÷ (x - 2)

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0
We conduct long division, cancelling each term in x³ + 6x² + 3x + 1. As so:

x²(x -2) = x³ - 2x²
Subtracting from the original equation, we get:
8x² + 3x + 1

8x(x - 2) = 8x² - 16x
Subtracting from the new equation, we get:
21x + 1

21(x - 2) = 21x - 42
Subtracting from the new equation, we get:
43

The answer is x² + 8x + 21 with a remainder of 43.
You might be interested in
What is the difference in Fahrenheit degrees between a temperature of 0C and a temperature of 15C?
slamgirl [31]

Answer:

27^{\circ}F

Step-by-step explanation:

Use formula

F=1.8C+32

to convert Celsius to Fahrenheit.

When C_1=0^{\circ}C, then

F_1=1.8\cdot 0+32\\ \\F_1=32^{\circ}F

When C_2=15^{\circ}C, then

F_2=1.8\cdot 15+32\\ \\F_2=27+32=59^{\circ}F

Difference:

F_2-F_1=59^{\circ}F-32^{\circ}F=27^{\circ}F

8 0
3 years ago
Joe is finding the length of a rectangular prism. The volume of the prism is 204 ft3. The width is 3.5 ft, and the height is 5 f
zmey [24]

Answer:

B. He added 3.5 and 5 when he should have multiplied them.

Step-by-step explanation:

Let's observe Joe's steps:

- V = lwh

- 204 = 3.5 * (5) * l

Here, * means to multiply, so we're supposed to multiply 3.5 to 5, which would give you the answer 17.5. Unfortunately, look what Joe got: he obtained the value of 8.5, and if we observe, 3.5 + 5 = 8.5.

That's how we know that Joe added instead of multiplied, as he should have done. Thus, the answer is B.

8 0
3 years ago
Read 2 more answers
On a number line, what is the distance between –14 and –3?
Allisa [31]

Answer:

12

Step-by-step explanation:

if you find it difficult you can always write is down as a piece of side working

-14

-13

-12

-11

-10

-9

-8

-7

-6

-5

-4

-3

7 0
3 years ago
Rewrite \sqrt((1+cos45)/(2)) using a half-angle identity
aleksklad [387]

\stackrel{\textit{Half-Angle Identities}}{cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos\left( \cfrac{45^o}{2} \right)\implies \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos(22.5^o)

7 0
2 years ago
What is the algebraic rule?? And how do you find out what algebraic rule on a graph is (x,y)to (x,y+10)??? I know how to find ba
Arlecino [84]

Answer:

  (x, y) ⇒ (-x, y)

Step-by-step explanation:

When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.

Here, vertices VWX are in <em>clockwise</em> order. The corresponding vertices V'W'X' are in <em>counterclockwise</em> order. For that to happen, there must be a reflection involved.

The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.

The algebraic rule for these two figures is ...

  (x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes

__

<em>Additional comment</em>

No rotation is involved here.

The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This <em>is</em> the algebraic rule.

7 0
2 years ago
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