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
Cerrena [4.2K]
3 years ago
9

How can you quickly determine the number of roots a polynomial will have by looking at the equation?

Mathematics
2 answers:
Goryan [66]3 years ago
7 0
First, you need to get delta which is b squared minus 4ac. If delta is higher than cero, the polynomial has two solutions, if it is less, the polynomial has no real solutions and if it is the same, it has one solution.
Although that is only for second grade ecuations
worty [1.4K]3 years ago
6 0

Answer:

One can determine the number of roots by seeing the degree of the  given polynomial.

Step-by-step explanation:

The number of roots can be determine by just seeing the highest power of the given equation.

Example,

1) for the equation  x-4=0

here, the highest power the equation is one. So, it will have one root.

Lets check it by simplify  x-4=0 \Rightarrow x=4

Hence, the equation has only one root namely x = 4.

2) Consider a quadratic equation,

10t^2-t-3=0

here, the highest power the equation is two.So, it will have two roots.

Lets check it by simplify using middle term splitting method,

10t^2+5t-6t-3=0

5t(2t+1)-3(2t+1)=0

(2t+1)(5t-3)=0

\Rightarrow t=\frac{-1}{2} or \Rightarrow t=\frac{3}{5}

thus, the equation has two roots.

Hence, one can determine the number of roots by seeing the degree of the  given polynomial.

You might be interested in
Can you please help please please help me with this question is so hard and i will give you a Brainiest please
mrs_skeptik [129]

Question 1 :

x ≤ 4

Question 2:

i think its 40-5

7 0
2 years ago
The amount spent on heating depends on the average temperature
anastassius [24]

That's D.


A(t) is the amount as a function of the temperature t.



7 0
3 years ago
Read 2 more answers
MAFS.5.NF.2.5a
Mademuasel [1]

C would be the answer

5 0
3 years ago
Use this definition to find l'(a) at the given number a.<br> f(x) = ✓ 3x + 1,<br> a = 8
yanalaym [24]
F(x)= √3x + 1
a=8

8 √3 + 1 <—Exact form

14.85649646 <—In decimal form



5 0
3 years ago
Which of the following values is the 25th percentile?lower quartile, median, upper quartile
lawyer [7]
The lower quartile is the 25th percentile.
7 0
3 years ago
Read 2 more answers
Other questions:
  • BRAINLIEST PLEASE FIND THE AREA
    9·2 answers
  • Sawyer recorded the number of different types of pets his friends have in the table shown below:
    7·2 answers
  • Find the diameter in units.
    14·1 answer
  • A certain bank assigns one unique number to each savings account. The amount of savings in each account depends on how much the
    14·2 answers
  • Suppose the diameter of a circle is 2. What is its radius?
    6·2 answers
  • 7.8+ (x-18)=31 <br>Please Help Asap<br>ty​
    8·2 answers
  • What is the value of the expression below when z = 5
    12·1 answer
  • 20 ft to 8 yards in simplest form
    10·1 answer
  • Complete the table. Will choose brainliest.
    7·2 answers
  • Find (fog)(x).<br> f(x) = 2x + 6<br> g(x) = −3x - 10<br> Please help me
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!