All categories

3 years ago

Write a polynomial f(x) that meets the given conditions. Answers may very

Mathematics

1 answer:

AnnZ [28]3 years ago

4 0

The polynomial is: $f(x)=x^3-2x^2-23x+60$

Step-by-step explanation:

We need to write a polynomial f(x) that meets the given conditions: Degree 3 polynomial with zeros 3,-5,4

Since zeros are at 3,-5 and 4

So, x=3, x=-5 and x=4

or:

x-3=0, x+5=0 and x-4=0

Multiplying all factors to find the polynomial:

$(x-3)(x+5)(x-4)=0\\(x(x+5)-3(x+5))(x-4)=0\\(x^2+5x-3x-15)(x-4)=0\\(x^2+2x-15)(x-4)=0\\x(x^2+2x-15)-4(x^2+2x-15)=0\\x^3+2x^2-15x-4x^2-8x+60=0\\x^3+2x^2-4x^2-15x-8x+60=0\\x^3-2x^2-23x+60=0$

So, the polynomial is: $f(x)=x^3-2x^2-23x+60$

keywords: Factors and zeros of polynomial

Learn more about Factors and zeros of polynomial at:

#learnwithBrainly

You might be interested in

PLZ ANSWER as quick as you can

irga5000 [103]

Answer: 65

adding all flat surfaces equals 65

12+24+12+16+25 = 65

7 0

3 years ago

You roll a 6-sided die.<br> What is P(prime)?<br><br> Write your answer as a percentage.

posledela

$\huge \underline\text {Hello There!!}$

<h3><u>Given</u></h3>

Rolled A six-sided dice.

P(Prime) as percentage

<h3><u>Solution</u></h3>

Total Possible Outcomes= 1, 2, 3, 4, 5, 6.

So, No. of possible Outcomes= 6

Prime number of the dice= 2, 3, 5

So, No. of favorable outcomes of Prime number= 3

$\text{Probability of an event= }$

$\frac{ \text{favorable no. of outcome}}{ \text{total no. of outcome}} \times 100$

$\text{Percentage of Probability getting P(Prime) number on face of dice} =$

$\frac{3}{6} \times 100 \\ \\ = \cancel \frac{3}{6} \times 100 \\ \\ = \frac{1}{ \cancel2} \times \cancel{100} \\ \\ = 50\%$

$\therefore \% \text{ Probability of getting prime number is \red{50} \red\%}$

<h3>Hope This Helps</h3>

8 0

2 years ago

If BD = 4, AD = x-6, and CD = x, what is the length of CD?

emmainna [20.7K]

Answer:

The length of CD is 8 units

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we know that

According to the Right Triangle Altitude Theorem,

$(BD)^2 = (AD)(CD)$

substitute the given values

$(4)^2 = (x-6)(x)$

$16=x^2-6x\\x^2-6x-16=0$

solve the quadratic equation by graphing

The solution is x=8 or x=-6

see the attached figure N 2

Discard the negative length.

therefore

The length of CD is 8 units

8 0

3 years ago

Help please!!!!!!!?!

yuradex [85]

Answer:

i would go to c

Step-by-step explanation:

7 0

3 years ago

The height y (in feet) of a ball thrown by a child is

KengaRu [80]

I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet

For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.

For b), we find the vertex of y = -1/16x^2 + 4x + 3
                               y = -1/16x^2 + 4x + 3
                               y = -1/16(x^2 - 64x) + 3
                               y = -1/16(x^2 - 64x + 1024 - 1024) + 3
                               y = -1/16((x-32)^2 - 1024) + 3
                               y = -1/16(x-32)^2 + 64 + 3
                               y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.

For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
                     x = [ -b ± √b^2 - 4ac ] / (2a)<span>
                     x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))
   x = -0.741, 64.741
Only the positive solution, so 64.741 feet         </span>

3 0

3 years ago

Read 2 more answers