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
Karolina [17]
3 years ago
9

Find the four real zeros of the polynomial. f(x) = x4 + 6x3 - 3x2 -52x - 60

Mathematics
1 answer:
OLEGan [10]3 years ago
7 0
The function is 

f(x)=x^4+6x^3-3x^2-52x-60

The "zeros" of a function, are the values of x, for which f(x)=0


According to the "Rational Root Theorem", the rational roots of f, are factors of 60.

That is, when trying to find the roots of a polynomial function, it is a very good idea to first check the factors of the constant term.


All numbers shown in the choices are factors of 60, so we will solve the problem by trial:


f(2)=2^4+6\cdot2^3-3\cdot2^2-52\cdot2-60=16+48-12-104-60 \neq 0

2 is not a root, so we eliminate choices A and D, 

Choices B and C are almost equal, with only 1 different number, so let's check whether 5 is a root or not:


f(5)=(5)^4+6\cdot(5)^3-3\cdot(5)^2-52\cdot(5)-60

=625+750-75-160-60=60


but 

f(-5)=(-5)^4+6\cdot(-5)^3-3\cdot(-5)^2-52\cdot(-5)-60

=625-750-75+160-60=0

So the right choice is B
You might be interested in
Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.
vladimir1956 [14]
k:12x-5y=2\to-5y=-12x+2\ \ \ /:(-5)\to y=\frac{12}{5}y-\frac{2}{5}\\\\l:y=mx+b\\\\k\ ||\ l\iff m=\frac{12}{5}\\\\ l:y=\frac{12}{5}x+b;\ (2;\ 3)\\\\\frac{12}{5}\cdot2+b=3\\\\\frac{24}{5}+b=3\\\\b=\frac{15}{5}-\frac{24}{5}\\\\b=-\frac{9}{5}\\\\Answer:y=\frac{12}{5}x-\frac{9}{5}\to\frac{12}{5}x-y=\frac{9}{5}\ \ \ \ /\cdot5\to12x-5y=9
7 0
2 years ago
Pls help due ASAP <br> Show workings please!!!
Vlad [161]

Answer:

AB=8

Step-by-step explanation:

First, you get figure out x. Since both sides are equal, use the equation x+3=2x-2, then subtract x from both sides, 3=x-2, and then add 2 to both sides, x=5. Then use one of the equations to get the length of the side, I used x+3=8, which is your answer.

(hope this helps :P)

5 0
3 years ago
What point is a solution to the inequality shown in this graph? (-3,-6) &amp; (3,2)
NARA [144]

Answer:

(0,5)

Step-by-step explanation:

7 0
3 years ago
The bisectors of a parallelogram form a
lapo4ka [179]

Answer:

The angle bisectors of a parallelogram form a rectangle.

Step-by-step explanation:

7 0
3 years ago
144^2 - 121^2=
Mademuasel [1]

Answer:

<h2>b. (144 + 121)(144 - 121)</h2>

Step-by-step explanation:

Use a² - b² = (a + b)(a - b)

144² - 121² = (144 + 121)(144 - 121)

7 0
3 years ago
Other questions:
  • A rectangular park is 85 yards wide and 120 yards long.
    10·1 answer
  • What is the answer to -(5-2)=
    10·2 answers
  • Kendra bought a magazine for $3 and four paperback books for $5 each the expression 3 + 4 x 5 represents the total cost in dolla
    5·1 answer
  • The daily low temperature in Guangzhou, China Varies over time in a periodic way that can be modeled by a trigonometric function
    6·1 answer
  • Write a 5 digitnumber that is divisible by 8?
    10·2 answers
  • A cone-shaped container has a height of 9 inches and diameter of 2.5 inches. It is filled with a liquid that is worth $2 per cub
    11·2 answers
  • PLEASE HELP PEOPLE!!!! I really need help. urgent. asap.
    10·1 answer
  • Please help!!! (Ignore the AD it’s actually supposed to be DC)
    10·1 answer
  • In math class alyssa’s test score is 90.125
    9·1 answer
  • Solve Y/-6 + 5 = 9<br><br> It’s Algebra 1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!