All categories

3 years ago

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)

You might be interested in

3.3.1. Calculate the new cost per night of the standard and family standard chalets. Round of (4) your answer to the nearest hun

Taya2010 [7]

The information to complete the table is given below:

Equation that shows the relationship between the cost per night C and the number of people staying in the chalet n: C= 4000-100(n-1)

<h3>What is Equation?</h3>

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in math when you do not know the exact number in a calculation.

Given that:

Pules Rs 4000 per night but will decrease the amount by R100 per person occupying the chalet.

Number of People Cost per night

1 4000

2 3900

3 3800

4 3700

5 3600

6 3500

7 3400

8 3300

9 3200

10 3100

let C be cost per night and n be the number of people of staying in chalet.

equation: C= 4000-100(n-1)

for n=1: C= 4000- 0=4000

n=2, C= 4000-100(1)= 3900

The graph is attached below:

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

5 0

2 years ago

If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) when n = 5

Mkey [24]

Answer:

Step-by-step explanation:

d(n) = 4n + 2

= 4(5) + 2

=22

t(d(n)) = 3(22) + 1

= 67

8 0

2 years ago

Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math.

Misha Larkins [42]

110 because when you basically spend most of your time in math you become a math genius and then you whole family is proud of you thank you

8 0

3 years ago

Read 2 more answers

-6(-4u+4)-6u=2(u-5)-8

MrRissso [65]

Answer:

u=0.375

Step-by-step explanation:

First we can write the equation down, -6(-4u+4)-6u=2(u-5)-8. First what you want to do is distribute -6 to (4u+4) and 2 to (u-5). This would result in 24u-24-6u=2u-10-8. Next add up all like terms and you will get 18u-24=2u-18. Next you would want to add 24 on both sides so that you get 18u=2u+6 then subtract 2u from both sides to get 16u=6. You the divide 16 on both sides to get u=0.375.

6 0

3 years ago

Someone please help me!!:(

solong [7]

Ether 3 4 Relize To always Look At the equation Of wat You’re Doing

3 0

3 years ago