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
sdas [7]
3 years ago
8

X + x2 - 5x -5 = 0 state the possible rational zeros and find all the zeros of the polynomial

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

<em>The zeros of the polynomial are -1 and 5</em>

Step-by-step explanation:

<u>Quadratic Equation Solving</u>

The standard representation of a quadratic equation is:

ax^2+bx+c=0

where a,b, and c are constants.

Solving with the quadratic formula:

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

We have the following equation to solve:

x+x^2-5x-5=0

Before attempting to solve it, we must simplify the equation.

Collecting like terms and reordering:

x^2-4x-5=0

Here: a=1, b=-4, c=-5

The discriminant of this quadratic equation is:

d=b^2-4ac

d=(-4)^2-4(1)(-5)=16+20=36

Given d is positive, the equation has two roots, and since d is a perfect square, both roots are rational.

Applying the formula:

\displaystyle x=\frac{4\pm \sqrt{36}}{2(1)}

\displaystyle x=\frac{4\pm 6}{2}

Dividing by 2:

x=2\pm 3

Separating both roots:

x = 2 + 3 = 5

x = 2 - 3 = -1

The zeros of the polynomial are -1 and 5

You might be interested in
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectan
Leviafan [203]

9514 1404 393

Answer:

  (a)  On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1)

Step-by-step explanation:

Every point coordinate of the dilated figure will be smaller by the same factor.

Looking at the original (0, 3) coordinate, we find that possible answer choices include ...

  A (0, 1) has a scale factor of 1/3

  B (0, 4) has a scale factor greater than 1

  C (0, 1) has a scale factor of 1/3

  D (0, 2) has a scale factor of 2/3

__

Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.

In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.

6 0
3 years ago
Read 2 more answers
In problems below, (a) identify the independent variable and the dependent variable of each equation (use 't' for the independen
7nadin3 [17]

Step-by-step explanation:

The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature

8 0
3 years ago
On a​ map, 1 inch equals 20 miles. Two cities are 6 inches apart on the map. What is the actual distance between the​ cities?
Elodia [21]

Answer:

idk

Step-by-step explanation:

idk just responding

for points

7 0
3 years ago
Read 2 more answers
Slope=1÷5; y intercep = -5
sertanlavr [38]
The equation is
y =  \frac{1}{5}  x  - 5
3 0
3 years ago
QUICK QUICK! 1 MINUTE ONLY PLEASE!
Gekata [30.6K]

2 laps per minute

2 laps------60 s

1 laps -----x s

x=(1*60)/2

x=30 s

30s=1/2 min

D.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to a0 + (-7) = 3
    5·1 answer
  • "Swans cost $2 each two doves can be purchased with $1 and three hens can be purchased with $1. How many swans doves and hens do
    15·1 answer
  • If the train that Megan is riding covers 180 miles in 3 hours, how fast is the train traveling?
    9·1 answer
  • -1/4 in decimal form
    7·1 answer
  • 2 thousands + 12 hundreds the sum in standard form
    12·2 answers
  • Find the value of each power 1. 3 to the power of negative 3 2. 4 to the power of 4
    10·1 answer
  • Find the 12th term of following geometric sequence 5, 20,80, 320,
    6·1 answer
  • 18 is 60% of what number
    10·1 answer
  • Approximately how many centimeters are in 54 feet?
    5·2 answers
  • In their preface, the Grimms explained their interest in the culture of the common people, and their intention in recording thei
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!