All categories

2 years ago

What are the possible degrees for the polynomial function

Mathematics

2 answers:

Anit [1.1K]2 years ago

7 0

Answer:

Degree of the polynomial function = 5

Step-by-step explanation:

Since, the given graph of a polynomial has the x-intercepts at x = -2, -0.5, 0.5, 1.5, 3

Therefore, the equation of the polynomials with zero roots will be,

y = (x + 2)(x + 0.5)(x - 0.5)(x - 1.5)(x - 3)

When we solve this expression highest degree of the variable x will be 5.

Therefore, the possible degree of the polynomial function = 5

scoray [572]2 years ago

5 0

Answer:

i was going to screenshot the answer bc i got it right but its

"odd 5 degrees or greater" :)

hope all you guys are healthy and safe

You might be interested in

Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

6 0

3 years ago

A scale measures weight to the nearest 0.1 pounds. Which is the most appropriate way to report weight using this scale?

Pani-rosa [81]

The question is kind of vague in my opinion.

the best measurement to report with the scale in my opinion would be tens of pounds. my reasoning is because the decimal place would still prove importance with numbers under one hundred. above one hundred pounds and the decimal place becomes kind of pointless.

I hope I answered your question. though i'm sorry if i didn't

8 0

3 years ago

A) Write the number seven thousand, two hundred and fifty in figures.

aivan3 [116]

7250 is the answer haha

8 0

2 years ago

The graph of y=sin is stretched vertically by a factor of 3 , compressed horizontally by a factor of 6 (angular frequency of 6),

SVEN [57.7K]

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Y = 5x +22

Eduardwww [97]

The answer is B. The number 14 represents 14 days, or 2 weeks. Since the equation is solved to get 92, that is how tall it will be then.

7 0

2 years ago

What are the possible degrees for the polynomial function￼

What are the possible degrees for the polynomial function