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
Lostsunrise [7]
2 years ago
12

P(x)=(x-2)(x-4)(x-5)

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
5 0

The constants of a polynomial is the term that has no variable attached to it.

<h3>The constant term</h3>

To determine the constant, we simply multiply the constant term in each factor of the polynomial.

So, we have:

<h3 /><h3>Polynomial P(x) = (x-2)(x-4)(x-5)</h3>

Constant = -2 \times -4 \times -5

Constant = -40

Hence, the constant is -40

<h3>Polynomial P(x) = (x-2)(x-4)(x+5)</h3>

Constant = -2 \times -4 \times 5

Constant = 40

Hence, the constant is 40

<h3>Polynomial P(x) =1/2(x-2)(x-4)(x+5)</h3>

Constant = \frac 12 \times -2 \times -4 \times 5

Constant = 20

Hence, the constant is 20

<h3>Polynomial P(x) = 5(x-2)(x-4)(x+5)</h3>

Constant = 5 \times -2 \times -4 \times 5

Constant = 200

Hence, the constant is 200

<u>P(x) =-5(x-2)(x-4)(x+5)</u>

Constant = -5 \times -2 \times -4 \times 5

Constant = -200

Hence, the constant is -200

Read more about polynomials at:

brainly.com/question/2833285

You might be interested in
a cone shaped container has a height of 9 inches and a diameter or 2in it is filled with a liquid that is worth $2 per cubic inc
Mice21 [21]

Answer:

$18.84

Step-by-step explanation:

The area of a cone is (1/3)pi*r^2*h

With all variables plugged in we get an area of (1/3)*3.14*(1^2)*9, or 9.42 cubic inches. With a value of 2$/in^3, we get 2*9.42, or 18.84.

Therefore, the value of the container is $18.84.

5 0
3 years ago
What would be a equation for (5,2) and (0,7)?
Genrish500 [490]

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{5}}}\implies \cfrac{5}{-5}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{5}) \\\\\\ y-2=-x+5\implies y = -x+7

6 0
3 years ago
What is 2 2/5×2 7/9 in simplest mixed number form?
Scorpion4ik [409]

Answer:

6 2/3

Step-by-step explanation:

2 2/5 * 2 7/9

Change each number to an improper fraction

2 2/5 = (5*2+2)/5 = 12/5

2 7/9 = (9*2+7) = 25/9

12/5 * 25/9

Rewriting

25/5  * 12/9

5/1 * 4/3

20/3

Now changing to a mixed number

3 goes into 20 6 times with 2 left over

6 2/3

7 0
4 years ago
Write an equation in slope-intercept form of the line shown. (-4,0) and (1,-5)
Irina18 [472]

The slope intercept form is y = -x - 4

To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-5 - 0)/(1 - -4)

m = -5/5

m = -1

Now we look for the intercept using slope intercept form, our slope and a point.

y = mx + b

0 = -4(-1) + b

0 = 4 + b

-4 = b

Now we can use those two things top model the equation.

y = -x - 4

5 0
3 years ago
The product of (3 − 4i) and____is 25.
LiRa [457]

(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}

9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}

6 0
3 years ago
Other questions:
  • What is the value of m
    11·1 answer
  • Multiply (1/6)(-1/2)
    14·2 answers
  • •A ( -3,-4)
    6·1 answer
  • Help me pls. So what is 8y-I​
    7·1 answer
  • Joel gave one fourth of his 236 postage stamps to his sister
    9·1 answer
  • Your English teacher had decided to randomly assign poems for the class to read. The syllabus includes 2 poems by Shakespeare, 5
    10·1 answer
  • Joel is a service assistant at a supermarket. He is 19 years old.<br><br>What is Joel’s weekly pay?
    9·2 answers
  • Here are two rectangles the two rectangles are similar and the scale factor is
    15·1 answer
  • Ryan claims that any fraction located between 1/5 and 1/3 on a number line must have a denominator of 4. Enter a fraction that s
    15·1 answer
  • What is the solution to this system of linear equations?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!