1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SCORPION-xisa [38]
3 years ago
12

Use the long division method to find the result when 6x^3 + 19x2^2 + 17x + 3 is

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

\frac{6x^3 \ + \ 19x^2 \ + \ 17x \ + \ 3}{2x \ + \ 3}  \ = \ 3x^2 \ + \ 5x \ + \ 1

Step-by-step explanation:

Given;

F(x) = 6x³  +  19x²   +   17x   +  3

Factor of F(x) = 2x + 3

Using long division method;

                                   3x²  + 5x  +   1

                                 ------------------------------------

               2x + 3    √  6x³  +  19x²   +   17x   +  3

                             -  (6x³   +   9x²)

                                ----------------------------------------

                                               10x²    +    17x   +  3

                                          -   (10x²     + 15x)

                                             -------------------------------

                                                                  2x   +  3

                                                               - (2x   +  3)

                                                                 ---------------

                                                                         0

Thus, \frac{6x^3 \ + \ 19x^2 \ + \ 17x \ + \ 3}{2x \ + \ 3}  \ = 3x^2 \ + \ 5x \ + \ 1

                       

You might be interested in
Which is the slope of the line with equation 7x−3y=21?
Mice21 [21]
That’s the answer I hope this helps

7 0
3 years ago
If p() = x2 - 1 and q(x) - 5(x-1), which expression is equivalent to (p - q)(x)?
TiliK225 [7]

Answer:

\text{If p(x) = x2 - 1 and q(x) = 5(x - 1), the expression which is equivalent to} \text{ (p - q)(x) is (x2 - 1) - 5(x - 1).}

Step-by-step explanation:

Given:

  • p(x) = 2x2 - 1
  • q(x) = 3(x - 1)

To find:

  • (p - q)(x)

We know:

  • (p - q)(x) = p(x) - q(x)

Substitute

  • (2x^2 - 1) - 3(x - 1)

\text{Therefore, the expression equivalent to (p - q)(x) is (2x2 - 1) - 3(x - 1).}

7 0
2 years ago
When calculating a loan’s effective rate, if the interest compounds every two months, what value of n do you plug into your eq
Andrej [43]

The loan's effective rate and interest compound every two months then the value of n would be 6.

Given that,

When calculating a loan's effective rate, the interest compounds every two months.

We have to determine,

What value of n do you plug into your equation?

According to the question,

The calculation of compounded interest would be derived with the following formula:

\rm P = \left (1+\dfrac{r}{n}\right)^{nt}\\\\

In a year there are 12 months and when the interest rate is said to be compounded every two months then it implies that the number of months would be 6 months.

Then,

The value of n is,

\rm 2n = 12\\\\n = \dfrac{12}{6}\\\\n = 6

Hence, The loan's effective rate and interest compounds every two months then the value of n would be 6.

For more details, about Interest Rate refers to the link given below.

brainly.com/question/7967946

8 0
2 years ago
Pls help I’ll brainlest
nekit [7.7K]

Answer:

⋅

0

.

3

=

2

7

Step-by-step explanation:

6 0
3 years ago
Juan will spend $28 on gifts. So far, he has spent 16. What are the possible additional amounts he will spend?
harina [27]

Answer:

16

Step-by-step explanation:

because juan is spend 28 on gift and he added a 16 .

7 0
3 years ago
Other questions:
  • Wat is 20/24 as a decimal and a percent
    14·2 answers
  • Can someone offer help to this ratio question
    9·1 answer
  • You have decided to buy a new home and the bank offers you a 30 year fixed loan at 5.5% on a balance of $150,000. Use the table
    15·2 answers
  • Please if anyone can answer?
    14·2 answers
  • in a shipment of new books for a library 5/12 of the books were poetry and 2/5 were biographies the remainder of the books were
    14·1 answer
  • What is the x-intercept of the equation 3x - 2y = -12 ​
    13·1 answer
  • Find the area of the shaded region.<br> help pls
    7·1 answer
  • Some1 help plzz hurry
    9·1 answer
  • There are 10 m of thread on the reel. She use 210 cm. In centimeters. How much is left on the reel
    12·2 answers
  • 9 cm<br> 4 cm<br> 1<br> 14 cm<br> 5 cm
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!