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
miv72 [106K]
3 years ago
9

Use synthetic division to solve (2x^34x^2-35x15)/(x-3). What is the quotient?

Mathematics
1 answer:
victus00 [196]3 years ago
4 0
Answer: quotient is 2x^2 + 10x - 5

Solution:

The first polynomial is miswritten.

The right one is: 2x^3 + 4x^2 - 35x + 15.

So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)

The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

So, in this case it is:

3 | 2      4    -35    15
   ---------------------------------
    2     10     - 5      0

So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.

I like to show it in this other way:


   | 2     4     -35     15
   |
   |
3 |       +6    +30     -15
--------------------------------  
    2     10    - 5         0

Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
You might be interested in
An example of an asset with high liquidity is
REY [17]
A money market account.


7 0
3 years ago
What is the value of x in the equation 6(х + 1) — 5х = 8 + 2(x — 1)?
Licemer1 [7]

Multiply the first bracket by 6.

Multiply the second bracket by 8

6(x+1)-5x= 8+2(x-1)

6(x)+6(1)-5x= 8+2(x)+2(-1)

6x+6-5x= 8+2x-2

6x-5x+6= 8-2+2x

x+6= 6+2x

Move +2x to the other side. Sign changes from +2x to -2x.

x-2x+6= 6+2x-2x

-x+6= 6

Move +6 to the other side. Sign changes from +6 to -6.

-x+6-6= 6-6

-x=0

Multiply by -1 for -x and 0

-x(-1)= 0(-1)

x= 0

Answer: x= 0

6 0
3 years ago
Danny got a raise and now makes $58,965.95 a year. Round this number to the
Fantom [35]

Answer:

c) ten thousand dollars

Step-by-step explanation:

6 0
3 years ago
Simply the expression (x^3/2)^6
qaws [65]

Answer:

x**9

Step-by-step explanation:

(x**3/2)**6 = x**18/2 = x**9

6 0
2 years ago
14. Find the solution of the initial value problem y′′ + y = F(t), y(0) = 0, y′(0) = 0, where F(t) = ⎧⎪⎨⎪⎩ At, 0≤ t ≤ ????, A(2?
Vinvika [58]
Yxgxgggffggyygfccccgyu
3 0
3 years ago
Other questions:
  • Bonds payable should be reported as a long-term lThe Tony Hawk Skate Park has a 5-year installment loan with monthly payments of
    13·1 answer
  • Find two numbers that have the maximum possible product and a sum of 7
    6·2 answers
  • What is the answer to this 3√27
    9·2 answers
  • The following box plot shows points awarded to dance teams that competed at a recent competition: box plot with number line titl
    15·1 answer
  • What’s an equation of the line that has a y intercept of -2 and a slope of 5
    7·2 answers
  • The sum of one-third of a number and 10 is equal to 13. What is the number?
    12·1 answer
  • Titanium-44 is a radioactive isotope such that every 63 years, its mass decreases by half. For a sample of titanium-44 with an i
    12·1 answer
  • Which polygon(s) below are similar (not congruent) to polygon A? Mark the similar polygon(s) with true
    10·1 answer
  • HELP! need fast! will mark brainliest! 15 pts!<br> thx!
    6·1 answer
  • 50,000 is 20% of what?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!