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
ss7ja [257]
3 years ago
8

Find a degree 4 polynomial having zeros -8,-1,4 and 5 and the coefficient of x^4 equal 1.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Answer:

  x^4 -53x^2 +108x +160

Step-by-step explanation:

If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...

  p(x) = (x +8)(x +1)(x -4)(x -5)

Multiplying these out gives the polynomial in standard form.

  = (x^2 +9x +8)(x^2 -9x +20)

We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.

  = (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)

  = x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160

  p(x) = x^4 -53x^2 +108x +160

_____

The graph shows this polynomial has the required zeros.

You might be interested in
What are some good notes I can use to study for my algebra exam tomorrow?​
zlopas [31]

Answer:

all you need to do is look over your notes continue to partice as much as you can

Step-by-step explanation:

you got this

4 0
3 years ago
Read 2 more answers
What is the solution to the equation?<br> 3 + V3x – 5= x
Lostsunrise [7]

Answer: (D) 7

Step-by-step explanation:

8 0
2 years ago
Multiply (5a+7)(5a-7)
vovikov84 [41]

Answer:

25a^2-49

Step-by-step explanation:

1)use FOIL

F=first

O=out

I=inside

L=last

5a*5a+5a*-7+7*5a*7*-7

25a^2-35a+35a-49

25a^2-49

Hope this helps!

5 0
3 years ago
Read 2 more answers
HELPP!!! 65 points GIVIN
WITCHER [35]

its 3 1/4 you will thank me later :)

5 0
3 years ago
I’m a bit confused on how to solve this problem, and could use some help!
weqwewe [10]

Answer:

Okay to start with we know this side isn't congruent to our side with 55 degrees looking at this side we can see that x is not 95 degrees because it is an acute angle so A is crossed out. Next this side isn't congruent like I said so B is crossed out. C is possible but the angle wouldn't be as wide as it is if we had 59 degrees so C is incorrect. Leaving us with D 70 degrees hope this helps and sorry if I got it wrong!

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Item 2 Solve the equation using square roots. m^2+8m+16=45
    14·1 answer
  • In ΔSTU, the measure of ∠U=90°, US = 7.4 feet, and ST = 9.4 feet. Find the measure of ∠T to the nearest degree.
    14·2 answers
  • Basic Probability
    5·1 answer
  • 3/4 is 75% of what number?<br> This is proportions BTW
    9·2 answers
  • order the following expressions from least to greatest (aboslute value) when you write the answer just tell me the order, I don'
    8·1 answer
  • WILL GIVE BRAINLEIST! :Given a traffic cone has a base diameter of 12 inches and a height of 28 inches, which is the closest vol
    6·1 answer
  • You start driving north for 48 miles, turn right, and drive east for another 14 miles. At the end of driving, what is your strai
    15·2 answers
  • Solve for x. Your answer must be simplified. x/-8≥-5​
    13·2 answers
  • If you were to place $2,500 in a savings account that pays 3% interest
    5·1 answer
  • 12 ly
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!