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
AlekseyPX
2 years ago
13

FIRST ONE TO ANSWER CORRECTLY WILL BE BRAINLIEST

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
5 0

Answer:

b) the coefficient of x of jamie's polynomial is 5 .

c) The two polynomials are :

x³ + 4x² + 5x + 4 

x³ - 2x² + 5x + 4

Step-by-step explanation:

consider these two Monic polynomials of degree 3:

P : x³ + ax² + bx² + c  

Q : x³ + a₁x² + bx² + c  

P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²

Now we compare the coefficients of P × Q and  x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16

b)

c² = 16 ⇒ c = 4  (c is positive)

2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .

c)

In order to find a and a₁ we need to solve this system:

a+a₁ = 2                   a+a₁ = 2

                      ⇔

aa₁+2b = 2              aa₁ = -8

Solve the system and you’ll get :

a = 4 and a₁ = -2   or a = -2 and a₁ = 4

Let’s choose a = 4 and a₁ = -2 then

the two polynomials are respectively:

P : x³ + ax² + bx² + c  = x³ + 4x² + 5x + 4

Q : x³ + a₁x² + bx² + c  = x³ - 2x² + 5x + 4

You might be interested in
HELPPPP HURRY pleaseeee
iren2701 [21]

Answer:

125/36

Step-by-step explanation:

6-²=36

5-³=125

125/36

3 0
3 years ago
An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove th
seraphim [82]

Answer:

The answer is below

Step-by-step explanation:

We must first define the concepts a little:

We have that when the sides are congruent that is to say that they have the same direction and the same size and also the two opposite sides are parallel, the angles will be the same.

Now, in an isosceles triangle, two angles are congruent, because their two sides are congruent.

3 0
3 years ago
Solve for x. Leave your answer in simplest radical form.
svlad2 [7]
Mhmmmmmm like 13 because 10+3 is 13 and #brain
7 0
3 years ago
Read 2 more answers
Can you find all the angles plz
sertanlavr [38]

Answer:

hmmmmm

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
10.4-7.4 than write it as an improper fraction
egoroff_w [7]
6) 3/4. 5)30/8. 3)19/8. 1)16/12
3 0
3 years ago
Read 2 more answers
Other questions:
  • A bikini and sunglasses cost 110 $ in total. The Bikini costs 100$ more the the glasses. How many much do the sunglasses cost?
    14·1 answer
  • True or False: The amount of time it takes to complete an examination has a left skewed distribution with a mean of 65 minutes a
    14·1 answer
  • PLEASE HELP<br><br> Prove that: 2^13–2^10–2^9 is divisible by 13
    7·1 answer
  • The time between a lightning flash and the following thunderclap may be used to estimate, in kilometers,
    11·1 answer
  • Which set of ordered pairs represents a function?
    6·1 answer
  • Hello<br><br> answer my question
    12·1 answer
  • 100 - x2 + 15, cuando x = 9
    8·1 answer
  • F(x)=x3+8x2+5x−50 factored
    13·1 answer
  • Jenny wants to build a concrete patio that will be 8 meters by 11 meters
    9·2 answers
  • Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!