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
Harman [31]
1 year ago
10

Pre-Calc: Find all the zeros of the function.

Mathematics
1 answer:
uysha [10]1 year ago
5 0

The zeros of the polynomial function are y = 4/5, y = -4/5 and y = ±4/5√i and the polynomial as a product of the linear factors is f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

<h3>What are polynomial expressions?</h3>

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

<h3>How to determine the zeros of the polynomial?</h3>

The polynomial equation is given as

f(y) = 625y^4 - 256

Express the terms as an exponent of 4

So, we have

f(y) = (5y)^4 - 4^4

Express the terms as an exponent of 2

So, we have

f(y) = (25y^2)^2 - 16^2

Apply the difference of two squares

So, we have

f(y) = (25y^2 - 16)(25y^2 + 16)

Apply the difference of two squares

So, we have

f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

Set the equation to 0

So, we have

(5y - 4)(5y + 4)(25y^2 + 16) = 0

Expand the equation

So, we have

5y - 4 = 0, 5y + 4 = 0 and 25y^2 + 16 = 0

This gives

5y = 4, 5y = -4 and 25y^2 = -16

Solve the factors of the equation

So, we have

y = 4/5, y = -4/5 and y = ±4/5√i

Hence, the zeros of the polynomial function are y = 4/5, y = -4/5 and y = ±4/5√i

How to write the polynomial as a product of the linear factors?

In (a), we have

The polynomial equation is given as

f(y) = 625y^4 - 256

Express the terms as an exponent of 4

So, we have

f(y) = (5y)^4 - 4^4

Express the terms as an exponent of 2

So, we have

f(y) = (25y^2)^2 - 16^2

Apply the difference of two squares

So, we have

f(y) = (25y^2 - 16)(25y^2 + 16)

Apply the difference of two squares

So, we have

f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

Hence, the polynomial as a product of the linear factors is f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

Read more about polynomial at

brainly.com/question/17517586

#SPJ1

You might be interested in
An item costs $76.49 and the tax is $5.74. What is the percentage of the tax for this item?
Alinara [238K]

Answer:8.11%

Step-by-step explanation:

Before Tax Price: $70.75

Sale Tax: 8.11% or $5.74

After Tax Price: $76.49

3 0
3 years ago
Read 2 more answers
The expression 15 n + 5 n + 5 Which is another way to write this expression?
bixtya [17]

Answer:

cbdkkdfn

Step-by-step explanation:

bfnsowifnccvl

4 0
3 years ago
Read 2 more answers
X² + 6x – 27=0<br> What is the answer for this question
Tju [1.3M]
(x+9)(x-3)=0
x = 3,-9
7 0
3 years ago
Read 2 more answers
The quotient of negative eight and the sum of a number and three
PolarNik [594]
For this case, the first thing we must do is define a variable.
 We have then:
 x: real number
 Now we write the expression:
 -8 / (x + 3)
 The number x can be all real different from minus three.
 Answer:
 
-8 / (x + 3)
 
With x different from -3.
6 0
3 years ago
Fill in the table using the function rule y = 4 + 6x
xenn [34]

Answer:

10x

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Need help with this answer please
    7·1 answer
  • A social scientist is interested in determining if there is a significant difference in the proportion of Republicans between tw
    13·2 answers
  • A bank account balance, b, for an account starting with s dollars, earning an annual interest rate,
    10·1 answer
  • a line passes through (-4,7) and has a slope of -5/4 write an equation in slope intercept for this line
    11·2 answers
  • Which is a solution to the equation 6 x + y = 4
    10·1 answer
  • How many balls do you have to move, for the triangle to point in a different direction?
    13·1 answer
  • -2x+5=x-10<br><br><br><br><br><br><br> __________
    6·2 answers
  • You are making punch for a party. You use 6 parts juice for every 1 part soda. You use 18 parts of juice.
    6·2 answers
  • Jared's Cafe uses 5 bags of coffee every day. How many days will 1/2 of a bag of coffee last?
    9·1 answer
  • Solve for a triangle. 2x + 4x + 6x = 180
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!