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
Masja [62]
3 years ago
6

Can someone please help me?

Mathematics
1 answer:
kvasek [131]3 years ago
7 0

now, let's recall the rational root test, check your textbook on it.

so p  = 18 and q = 1

so all possible roots will come from the factors of ±p/q

now, to make it a bit short, the factors are loosely, ±3, ±2, ±9, ±1, ±6.

recall that, a root will give us a remainder of 0.

let us use +3.


\bf x^4-7x^3+13x^2+3x-18 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{r|rrrrr} 3&1&-7&13&3&18\\ &&3&-12&3&18\\ \cline{1-6} &1&-4&1&6&0 \end{array}\qquad \implies (x-3)(x^3-4x^2+x+6)


well, that one worked... now, using the rational root test, our p = 6, q = 1.

so the factors from ±p/q are ±3, ±2, ±1

let's use 3 again


\bf \begin{array}{r|rrrrr} 3&1&4&1&6\\ &&3&-3&-6\\ \cline{1-5} &1&-1&-2&0 \end{array}\qquad \implies (x-3)(x-3)(x^2-x-2)


and of course, we can factor x²-x-2 to (x-2)(x+1).

(x-3)(x-3)(x-2)(x+1).

You might be interested in
A group of market women sell at least one of yam, plantain and maize.12 of them sell maize,10 sell yam and 14 sell plantain,5 se
mina [271]

Let the three items be M, Y and P.

n{M ∩ Y} only = 4-3 = 1

n{M ∩ P) only = 5-3 = 2

n{ Y ∩ P} only = 2

n{M} only = 12-(1+3+2) = 6

n{Y} only = 10-(1+2+3) = 4

n{P} only = 14-(2+3+2) = 7

n{M∩P∩Y} = 3

Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.

8 0
3 years ago
I need your help please​
Bess [88]

56m^2

see the steps from the pic

4 0
3 years ago
PLEASE HELLP PLEASE!!!!! Create a problem that uses the commutative property to find the sum of at least 2 rational numbers. Sho
lyudmila [28]
<span>2+4 = 4+2 
</span>
would be your answer 
3 0
3 years ago
Read 2 more answers
In the diagram below, the area of $\triangle BCD$ is 60. What is the length of side $\overline{BC}$?
Phantasy [73]

Area of triangle = 1/2 bh

60 = 1/2 (15) h

8 = h

Quadrilateral area = h x (b1 + b2)/2 = 8 x (15+9)/2 = 96 sq units

96 -60 = triangle BAD area = 36 sq units

8 0
3 years ago
Read the following bar graph and answer the following related questions :
Varvara68 [4.7K]
  1. apala
  2. meenu
  3. 1:2
  4. 4 girls..

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the perimeter of this triangle ⬆️​
    14·1 answer
  • Which is bigger 80%of 90 or 1/2 of 140
    14·1 answer
  • Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 5 x minus 8 when x is less than 0
    7·2 answers
  • Which number is the inequality? m &gt; 7/12
    8·2 answers
  • To find the area of a trapezoid, use the expression ½h(b¹ + b²), where h represents the height, b, represents the length of the
    9·1 answer
  • Robert decides to repaint his ceiling, which is 14 ft by 20 ft. He wants to make sure to not paint the circular light fixture wi
    11·1 answer
  • Find the circumference of the circle.radius of 44 in Use 3.14 or 22/7
    14·1 answer
  • 3x - 5 = 1 what is the value of x​
    11·2 answers
  • Mia had 11/15 pounds of flour. She makes a cake with 2/25 pounds of flour.how much flour is left? Write as a fraction in simples
    14·1 answer
  • Ivanna drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive 357 miles?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!