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
Maru [420]
3 years ago
8

Rewrite 2x^2+13x+26/x+4 in the form q(x)+r(x)/b(x) . Then find q(x) and r(x).

Mathematics
2 answers:
sergey [27]3 years ago
8 0

Answer:

Q(x)= 2x+5

R(x)= 6

Step-by-step explanation:

natulia [17]3 years ago
6 0
We are dividing the polynomial 2x^{2} +13x+26 by x+4

notice that 2x^{2} is x times 2x,

so if we multiply (x+4) by 2x, which gives us 2 x^{2} +8x, we can 'separate' one 2 x^{2} +8x from 2x^{2} +13x+26  to get the following simplification:

\frac{2x^{2} +13x+26}{x+4}= \frac{ 2x^{2}+8 x}{x+4} + \frac{5x+26}{x+4}=2x+ \frac{5x+26}{x+4}

similarly we notice that 5x is x times 5, so if we multiply (x+4) by 5, we get 5x+20 so we can rewrite 

\frac{5x+26}{x+4}= \frac{5x+20}{x+4}+  \frac{6}{x+4}=5+\frac{6}{x+4}

\frac{6}{x+4} can not be simplified any further since the degree of 6, is smaller than the degree of x+4

combining our work, we have:

\frac{2x^{2} +13x+26}{x+4}=2x+5+\frac{6}{x+4}

Answer:

q(x)= 2x+5
r(x)=6
b(x)=x+4


Remark: we can solve the problem by long division or the division algorithm as well.
You might be interested in
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
Vlad [161]

By Green's theorem, the line integral is equivalent to the area integral

\displaystyle\int_C(3y+7e^{\sqrt x})\,\mathrm dx+(8x+9\cos(y^2))\,\mathrm dy=\int_0^1\int_{x^2}^{\sqrt x}\frac{\partial(8x+9\cos(y^2))}{\partial x}-\frac{\partial(3y+7e^{\sqrt x})}{\partial y}\,\mathrm dy\,\mathrm dx

=\displaystyle5\int_0^1\int_{x^2}^{\sqrt x}\mathrm dy\,\mathrm dx=\boxed{\frac53}

6 0
3 years ago
Can anybody help me pls
Dmitry_Shevchenko [17]

Answer:

2,3 i think its been a while scince i did slopes

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which number is equivalent to 0.15 x 10³?
DanielleElmas [232]
It equals 150.......
4 0
2 years ago
Read 2 more answers
Jessica wants to buy a new team jacket that’s cost 35$
OlgaM077 [116]
She would spend $35.00 on each jacket. Just multiply
4 0
3 years ago
Rebecca already knew 1 appetizer recipe before starting culinary school, and she will learn 3
Ostrovityanka [42]

Answer:

14 weeks

Step-by-step explanation:

so from what we know she already learned one appetizer recipe so she needs to learn 42 more so what we need to do since it's three every week we need to multiply three until we are able to get 42 so three times 14 gets 42 so that means that the answer would be 14

5 0
2 years ago
Other questions:
  • Diedre drew a quadrilateral with 4 right angles 4 sides are the same length what kind of polygon did diedre draw
    14·1 answer
  • A rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of es026-1.jpg to be placed near a
    5·2 answers
  • a principal of 3400 is invested at 6.5% interest, compounded annually. how many years will it take to accumulate 8000$ or more i
    15·1 answer
  • Suppose a simple random sample of size n=1000 is obtained from a population whose size is Nequals=1,000,000 and whose population
    14·1 answer
  • What is the value of k?
    12·1 answer
  • HELP ASAP PLZ HELP ASAP!!!!!
    13·2 answers
  • If u understand this May u please help me
    9·1 answer
  • . Andre drinks 15 ounces of water, which is 3 5 of a bottle. How much does the bottle hold? Use x for the number of ounces of wa
    7·1 answer
  • Please help me with the answer
    5·1 answer
  • Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!