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
Doss [256]
2 years ago
14

Verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3. Also verify the relationship between the ze

roes and the coefficient
Mathematics
1 answer:
Finger [1]2 years ago
6 0

Solution:

we have been asked to verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3

To verify that whether the given values are zeros or not we will substitute the values in the given Polynomial, if it will returns zero, it mean that value is Zero of the polynomial. But if it return any thing other than zeros it mean that value is not the zero of the polynomial.

Let f(x)=4x^3+20x^2+2x-3\\\\\text{when x=-5}\\\\f(-5)=4(-5)^3+20(-5)^2+2(-5)-3=-13\\\\\text{when x=}\frac{1}{2}\\

f( \frac{1}{2} ) = 4 ( \frac{1}{2} )^3+20(\frac{1}{2})^2+2(\frac{1}{2})-3=\frac{7}{2}\\\\

\text{when x=}\frac{3}{4}\\\\

f( \frac{3}{4} ) = 4 ( \frac{3}{4} )^3+20(\frac{3}{4})^2+2(\frac{3}{4})-3=\frac{183}{16}\\

Hence -5, 1/2, and 3/4 are not the zeroes of the given Polynomial.

Since sum of roots=\frac{-b}{a}= \frac{-20}{4}=-5\\

But -5+\frac{1}{2}+\frac{3}{4}=  \frac{-15}{4}\neq-5

Hence we do not find any relation between the coefficients and zeros.

Anyway if the given values doesn't represents the zeros then those given values will not have any relation with the coefficients of the p[polynomial.

You might be interested in
HELP ME PLEASE - BRAINLIEST TO CORRECT ANSWER
pashok25 [27]

100 meters is -1°C

1,000 meters is -10°C

10,000 meters is -100°C

And 2,000 meters is -20°C

12Km is 12,000 meters

12,000 meters is -120°C

Your answer is -120°C

-IronWolfX

5 0
3 years ago
Read 2 more answers
Write a word problem for n($25)=$125​
velikii [3]
Julie bought (n) shirts. Each shirt cost $25. The total amount Julie spent on shirts was $125. How many shirts did Julie buy?
5 0
3 years ago
Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
zysi [14]
4^{x} = 64

By taking <span>logarithmic of base 10

∴ </span><span>log 4^{x} = log 64

∴ x log 4 = log 64

∴ x =  \frac{log \ 64}{log \ 4}
note: we don't need to write the base in case of the base =10

∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>

3 0
3 years ago
Read 2 more answers
The sum of three consecutive intergers is 267. What is the largest interger?​
pav-90 [236]

90

Step-by-step explanation:

4 0
2 years ago
What value of x will make △ONM similar to △SRQ by the SAS similarity theorem?
Lerok [7]

Answer:

c 25

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please show all your work. The landing zone for Mr. A is 20 square feet (small net). The length of the net is 5 times longer tha
    10·1 answer
  • Please answer quickly, will mark brainlest to first and correct answer!!!!!!!
    11·2 answers
  • At time t = 0 a car moves into the passing lane to pass a slow-moving truck. The average velocity of the car from t =1tot =1+his
    6·1 answer
  • D= c-s/n solve for n
    9·2 answers
  • The front face of a laundry basket is in the shape of a trapezoid as shown. A trapezoid has a base of 24 inches, height of 12 in
    5·2 answers
  • Number 1,3,5,6 please
    8·2 answers
  • Solve for x <br> 9x - 1 = -11
    8·2 answers
  • The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.
    12·1 answer
  • Swimming Pool On a certain hot summer's day, 236 people used the public swimming pool. The daily prices are $1.50 for children a
    6·1 answer
  • 50 POINTS
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!