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
nignag [31]
3 years ago
5

Use the graph of the polynomial function to find the factored form of the related polynomial. Assume it has no constant factor.

Mathematics
2 answers:
vivado [14]3 years ago
7 0

Answer:

See example below.

Step-by-step explanation:

The factored from of a polynomial can be found from the zeros or x-intercepts of the graph.

The x-intercepts here are x= -3 and x= 3.

Then the factors are x+3 and x-3.

So the factored form is (x+3)(x-3).

mario62 [17]3 years ago
3 0

Answer with explanation:

I will use cubic polynomial to explain this.Let the graph of the polynomial cuts the X axis at , a, b and c.Suppose all the three roots of the cube are Real.

So, it has three roots equal to a, b and c.

Equation of Cubic Polynomial is given by:

 = (x-a)(x-b)(x-c)

 = [x² - (a+b)x + a b](x-c)

 = x²(x -c)-x(a+b)(x-c)+ab(x-c)

= x³-x²c- (x²-xc)(a+b)+a b x - a b c

= x³ - x² c-x² a - x² b+a c x + b c x+a b x - a b c

=x³-x²(a+b+c)+x(a b+b c+ca)-a b c

The factors a, b and c can be any rational number in the form of \frac{p}{q}, q\neq 0.

For example ,the roots of the cubic polynomial are 1, -1 and 3.

Polynomial Function = (x -1)[x-(-1)](x-3)

                            =(x-1)(x+1)(x-3)

                       

You might be interested in
Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow
HACTEHA [7]

Answer:

C(n)=14n+2.50

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

<em>Find out the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

m=\frac{C2-C1}{n2-n1}

substitute the values

m=\frac{30.50-16.50}{2-1}

m=14

<em>Find the equation of the line in slope intercept form</em>

C=m(n)+b

we have

m=14

point(1,16.50)

substitute

16.50=14(1)+b

b=16.50-14

1b=2.50

substitute

C(n)=14n+2.50

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

5 0
3 years ago
Solve the system of equations by substitution. What is the solution for x? 2x + y = 1 4x + 2y = −1
lapo4ka [179]
Solve your system of equations.

2x+y=1;4x+2y=−1

Solve 2x+y=1 for y:

2x+y+−2x=1+−2x(Add -2x to both sides)

y=−2x+1

Substitute (−2x+1) for y in 4x+2y=−1:

4x+2y=−1

4x+2(−2x+1)=−1

2=−1(Simplify both sides of the equation)

2+−2=−1+−2(Add -2 to both sides)

0=−3

Answer: No solution. C)

8 0
3 years ago
Read 2 more answers
Give examples of where the cubic decimeter is used around us?
pogonyaev

Answer:

A unit of volume equal to that of a cube having sides each one decimetre in length, equal to 10-3 cubic metres and 1 litre. Commonly used in fluid measure and for engine sizes.

3 0
3 years ago
Which of the following graphs represents exponential decay?
charle [14.2K]

Answer:

C

Step-by-step explanation:

C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.

6 0
3 years ago
Read 2 more answers
AB formed by (-8, -1) and (-4, 2)<br> CD formed by (0, -3) and (12, 6)
marysya [2.9K]
Ah= 222jsjssksmzmsmsmms
5 0
3 years ago
Other questions:
  • Quick help please! I can't figure out the answer, I got this same question wrong 2 times in a row.. Any help is appreciated!
    12·1 answer
  • *HELP PLEASE* How much money will Sarah have in her account if she deposits $2,700 and she invests in a simple interest savings
    15·2 answers
  • What is the reciprocal of 3 3/7
    11·2 answers
  • Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 3θ
    10·2 answers
  • To increase an amount by 17.5% what single multiplier would you use?
    12·2 answers
  • Caroline and Sarah win some money and share it in the ratio 2:1. Caroline gets £45 more than Sarah. How much did Sarah get?
    6·2 answers
  • a bean plant was 15 centimeters tall one week ago. In 5 days it grew 1 meter. find the current height of the plant.
    15·1 answer
  • Classify the triangle shown below. Check all that apply.
    8·2 answers
  • What is the slope of the 2 points (10,15) (6,23)
    14·2 answers
  • Which recursive formula represents the geometric sequence?<br> 25, 20, 16,
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!