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
makvit [3.9K]
3 years ago
10

Hey! i've been working on these questions but I have no idea how to solve this one, could anybody help me? Thanks in advance!

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

1) \boxed{p(x) = x^3-x^2+x-1}

2) \boxed{p(x) = x^2+x-2}

3) \boxed{p(x) =- 2x^2+2x+4}

4) \boxed{p(x) = 2x^2+x-4}

Step-by-step explanation:

<u><em>Part (1)</em></u>

p(x) = x^3-x^2+x-1

As we have to determine it by ourselves, this is the polynomial having a degree of 3. p(x) with a degree of 3 means that the highest degree/exponent of x should be 3.

<u><em>Part (2)</em></u>

p(x) = x^2+x-2

This can be the polynomial having the factor x-1 because if we put:

x - 1 = 0 =>  x = 1 in the above polynomial, it gives us a result of zero which shows us that (x-1) "is" a factor of the polynomial.

<u><em>Part (3)</em></u>

p(x) = -2x^2+2x+4

This can be the polynomial for which p(0) = 4 and p(-1) = 0

<u>Let's check:</u>

p(0) =- 2(0)^2+2(0)+4\\p(0) = 0 + 0+4\\p(0) = 4

p(-1)= -2(-1)^2+2(-1)+4\\p(-1) = -2(1)-2+4\\p(-1) = -2-2+4\\p(-1) = 0

So, this is the required polynomial determined by "myself".

<u><em>Part (4):</em></u>

p(x) = 2x^2+x-4

This is the polynomial having a remainder 6 when divided by (x-2)

<u>Let's check:</u>

Let x - 2 = 0 => x = 2

<u>Putting in the above polynomial</u>

p(x) = 2(2)^2+(2)-4\\Given \ that \ Remainder = 6\\6 = 2(4) +2-4\\6 = 8+2-4\\6 = 10-4\\6 = 6

So, Proved that it has a remainder of 6 when divided by (x-2)

You might be interested in
X-intercept (3,0) and y-intercept (0,-6) point slope form please.
Viktor [21]

Answer:

y+6=2x

Step-by-step explanation:

we have

x-intercept (3,0) and y-intercept (0,-6)

step 1

Find the slope

The slope is

m=(-6-0)/(0-3)=2

step 2

Find the equation of the line into point slope form

The equation is equal to

y-y1=m(x-x1)

we have

m=2

(0,-6)

substitute

y+6=2(x-0)

y+6=2x ----> equation of the line into point slope form

5 0
3 years ago
The matrix to solve
Maurinko [17]
This question is impossible to solve.

this is why:

if 4x-4=0
then x=1

so if 8x + 4 = 8

then x is false.

I get these question quite a lot in my GCSEs.

you have to prove why they are fake.

4 0
3 years ago
Read 2 more answers
A particular baseball player has a batting average (number of hits/number of times at bat) of 0.364. What is the probability tha
MAXImum [283]
The correct answer is option (c) <span>P(not a hit) = 0.636

</span>The batting average of the baseball player = \frac{number of hits}{number of times at bat} = 0.364

Now, the probability of occurrence of any event is say, P, the probability of not occurrence of the event is given as =  1 - P

Therefore, <span>the probability that he will not get a hit at his next at bat = 1- 0.364 = 0.636</span>
6 0
3 years ago
The answer and the step by step explanation pleasee
alexira [117]

Answer:

C

Step-by-step explanation:

Given

V = lwh ( isolate w by dividing both sides by lh )

\frac{V}{lh} = w → C

6 0
3 years ago
A farmer needs to enclose a section of land in the shape of a parallelogram by using one side of a barn for one side. the barn a
Alecsey [184]
The answer would be 9 feet.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A ball on the end of a string is spinning around a circle with a radius of 5 centimeters. If in 3.1 seconds a central angle of p
    6·1 answer
  • Follow these steps using the algebra tiles to solve the equation -5x + (-2) = -2x + 4
    13·2 answers
  • Multiply negative 1 over 3 multiplied by 1 over 4 . Which of the following is correct? (5 points)
    12·1 answer
  • HELP PLZ
    9·1 answer
  • Stuck on this question. Help appreciated! (Will make as Brainliest)
    8·1 answer
  • For which interval is the average rate of change of f(x) negative?
    7·2 answers
  • What is the first operation you would "undo" to solve the equation 5x−4=1
    9·2 answers
  • Homework due this midnight :0 √∛∛∡∡↓⇄⊃↓→↔
    7·2 answers
  • PLEASSSSS HELPPP ME ITS URGENT
    10·1 answer
  • Henrik makes 5 L of juice from his blueberries. He fills the juice in bottles like
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!