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
Step2247 [10]
3 years ago
13

Explain the connection between factors of a polynomial, zeros of a polynomial function, and solutions of a polynomial equation.

Make sure you use proper terms such as leading coefficient, degree, binomial, constant, linear binomial, zeros, roots, etc.
Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

Answer:

Step-by-step explanation:

Solutions, zeros, and roots of a polynomial are all the same exact thing and can be used interchangeably.  When you factor a polynomial, you solve for x which are the solutions of the polynomial.  Since, when you factor a polynomial, you do so by setting the polynomial equal to 0, by definition of x-intercept, you are finding the zeros (don't forget that x-intercepts exist where y is equal to 0). There's the correlation between zeros and solutions.  

Since factoring and distributing "undo" each other (or are opposites), if you factor to find the zeros, you can distribute them back out to get back to the polynomial you started with.  Each zero or solution is the x value when y = 0.  For example, if a solution to a polynomial is x = 3, since that is a zero of the polynomial, we can set that statement equal to 0: x - 3 = 0.  What we have then is a binomial factor of the polynomial in the form (x - 3).  These binomial factors found from the solutions/zeros of the polynomial FOIL out to give you back the polynomial equation.

You might be interested in
Find the cosine ratio of angle 0
Bingel [31]

Answer: cos(0) = 1

hope this helped

7 0
3 years ago
Solve the system of equations by substitution: y = x - 2
gizmo_the_mogwai [7]

Step-by-step explanation:

y = x - 2

x + y = 12

Substitute the first expression for y into the second equation.

x + (x - 2) = 12

2x - 2 = 12

2x = 14

x = 7

Now plug into either equation to find y.

y = 7 - 2

y = 5

So the solution is (7, 5).

4 0
3 years ago
Mathhh help!!!!!!!!!!!!!!!!!
Alona [7]
4% = 0.04

240,000 * 0.04 = $9,600
6 0
3 years ago
What’s the answer?????20 points!!!!
jasenka [17]

Answer:

i think 6,300

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Which is the axis of symmetry of a parabola with equation x^2=-4y?
riadik2000 [5.3K]

Answer:

x = 0

Step-by-step explanation:

Given

x² = - 4y ( divide both sides by - 4 )

y = - \frac{1}{4} x²

Which is a parabola opening vertically down with it's vertex at (0, 0) and symmetrical about the y- axis

Hence equation of axis of symmetry is x = 0

3 0
3 years ago
Other questions:
  • Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees
    13·1 answer
  • what do you do in 48 hours after you spend 33 hours of it watching netflix? How many hours did i spend cleaning, sleeping, writi
    8·1 answer
  • Help me please<br> Its math
    15·2 answers
  • Hey:) can you please help me posted picture of question
    15·1 answer
  • What is 10 times as great as 7962
    12·2 answers
  • Express cach number in standard decimal notation form.
    12·1 answer
  • Express each of the following parcentages as a decimal d)0.02%​
    14·1 answer
  • 200% of $5( please help)
    8·2 answers
  • If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the maximal area?
    12·1 answer
  • Not sure need help ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!