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
Ronch [10]
2 years ago
7

What are the zeros of the polynomial function

Mathematics
1 answer:
solniwko [45]2 years ago
3 0

Option B

The zeros of the polynomial function are x = 0 , x = 6, x = -1

<em><u>Solution:</u></em>

Given function is:

f(x) = x^3 -5x^2 - 6x

<em><u>To find: zeros of the polynomial function</u></em>

To find the zeros of polynomial function, set the function equal to zero and then solve for x.

x^3 -5x^2 - 6x = 0

Taking "x" as common term, we get

x(x^2 - 5x - 6) = 0

Equating to zero,

x = 0 \text{ and } x^2 - 5x - 6 = 0

So one of the zeros of polynomial is x = 0

Let us solve x^2 - 5x - 6 = 0 to find other zeros

<em><u>Let us solve using quadratic formula,</u></em>

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text{ for } x^2 - 5x - 6 = 0 \text{ we have } a = 1 ; b = -5 ; c = -6

\text{ The discriminant } b^2 - 4ac > 0 , \text{ so, there are two real roots }

Substituting the values of a, b, c in above formula,

x=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2(1)}\\\\x=\frac{5 \pm \sqrt{25+24}}{2}=\frac{5 \pm \sqrt{49}}{2}\\\\x=\frac{5 \pm 7}{2}\\\\x=\frac{5+7}{2} \text{ or } x=\frac{5-7}{2}\\\\x=\frac{12}{2} \text{ or } x=\frac{-2}{2}\\\\x=6 \text{ or } x=-1

Thus the zeros of the polynomial function are x = 0 , x = 6, x = -1

You might be interested in
Identify the horizontal asymptote of f(x) =x2+5x-3/4x-1
Pachacha [2.7K]

since the numerator is x² + 5x - 3, and therefore has a degree of 2, whilst the denominator, 4x¹ - 1, has a degree of 1, therefore, there's no horizontal asymptote.

recall, we only get a horizontal asymptote if the denominator's expression degree is equals or greater than that of the numerator's.

5 0
3 years ago
65% of 150 estimate percent
Ksju [112]

Answer:

97.5

Brainliest answer pls

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Evaluate to earn 10 points and brainliest
Helga [31]

Answer: -8

Step-by-step explanation:

if y=6x+(-2),  than y= 6x-2

if x=-1 we will replace x with this value

y=6(-1)-2=-6-2=-8

5 0
3 years ago
5) If Oskar bisects the diameter of a circle, what is he trying to construct?
pav-90 [236]

Answer:

Center = (5,-3) and radius = 7

Step-by-step explanation:

(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.

(6) The given equation is :

(x-5)^2+(y+3)^2=49

The general equation of circle is given by :

(x-a)^2+(y-b)^2=r^2 ...(1)

Where

(a,b) are the coordinates of the centre and r is the radius.

The given equation can be written as :

(x-5)^2+(y+3)^2=7^2 ..(2)

Comparing equation (1) and (2) we get :

a = 5, b = -3 and r = 7

So,

Center = (5,-3) and radius = 7

Hence, this is the required solution.

8 0
2 years ago
Which sentences contain two words that are related in the same way as the underlined words in the paragraph?
muminat
D is the correct answer
4 0
3 years ago
Other questions:
  • If you wanted to compare the changes over the last 10 years in the number of people who get their news from newspapers and the n
    12·1 answer
  • Ramona and Josh and money by babysitting the amount of food for one evening or shown on the table and graph to charge per hour
    6·1 answer
  • Hunter spent two-thirds of his money on a video game before spending half of his remaining money on lunch if his lunch cost $10
    6·1 answer
  • NEED ANSWER ASAP <br> MARKING BRAINLIEST
    13·2 answers
  • Round the weight of the chips to the nearest hundredth of an ounce
    13·1 answer
  • I don’t understand where to start or what to do , help pls .
    15·2 answers
  • Round the following as specified.<br><br> 153.38519 to the nearest thousandth.
    10·2 answers
  • Multiply the first number by its reciprocal
    9·2 answers
  • 50 points, brainIiest, 5 stars, and a thanks. Please help me! :(
    7·2 answers
  • Pls answer quick i will mark brainliest
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!