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madam [21]
3 years ago
13

Consider the polynomial function g(x)=x³-3x²+6x+8. Divide g by x+1.

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

Quotient ( x² -4x +10)

Reminder -2

Step-by-step explanation:

We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8

Now, we have to divide g(x) by (x+1)

Let us arrange the terms of g(x) to get (x+1) as common.

x³ - 3x² + 6x + 8

= x³ +x² -4x² -4x +10x +10 -2

= x² (x +1) -4x (x +1) +10 (x +1) -2

= (x +1)( x² -4x +10) -2

Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)

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3(x - 5) – 3 = 5(x - 2) + 2x
Arlecino [84]

Answer:

x=−2

Step-by-step explanation:       Step 1: Simplify both sides of the equation.

3(x−5)−3=5(x−2)+2x

(3)(x)+(3)(−5)+−3=(5)(x)+(5)(−2)+2x(Distribute)

3x+−15+−3=5x+−10+2x

(3x)+(−15+−3)=(5x+2x)+(−10)(Combine Like Terms)

3x+−18=7x+−10

3x−18=7x−10

Step 2: Subtract 7x from both sides.

3x−18−7x=7x−10−7x

−4x−18=−10

Step 3: Add 18 to both sides.

−4x−18+18=−10+18

−4x=8

Step 4: Divide both sides by -4.

−4x

−4

=

8

−4

x=−2

6 0
3 years ago
Which is bigger 0.17 or 0.165 meters
zavuch27 [327]
Your numbers are .17 and .165 meters

Let me explain each digit value:

Lets start with .17

Decimals are like whole numbers where each placement has a digit value

.1 is the tenths place

.07 is the hundredths place

Lets turn to .165

.1 is the tenths place

.06 is the hundredths place

.005 is the thousandths place

When seeing which decimal is larger, go along the tenths place and move along.


So as you can see
, .17 and .165 start with .1 so you can't see which is bigger by this. Now move on to the next digit. Which is larger? .17 or .16? As you should know, 7 is bigger than 6 so that means .17 is larger

Answer: .17 meters is larger than .165 meters
3 0
3 years ago
Read 2 more answers
What is this problem ?
kvv77 [185]
5^4/5
Multiply the number by it's exponent
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5 0
3 years ago
Find out the cylinders volume whose height is 3 cm and radius 5cm
Studentka2010 [4]
Volume = πr²h

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Volume = 75π = 235.62 cm³ (nearest hundredth)

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Answer: Volume = 235.62 cm³.
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8 0
3 years ago
Read 2 more answers
F(x)=x2−x−1f, left parenthesis, x, right parenthesis, equals, x, squared, minus, x, minus, 1 What is the average rate of change
Alexandra [31]

Answer: The average rate of change = -1

Step-by-step explanation: Please find the attached file for the solution

5 0
3 years ago
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