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
zzz [600]
3 years ago
11

Find the product of (x2 + 3x + 1)(x2 + x + 2)

Mathematics
2 answers:
Elza [17]3 years ago
7 0
<h2>Hello!</h2>

The answer is: x^{4}+4x^{3}+6x^{2}+7x+2

<h2>Why?</h2>

To find the product of the given expression, we need to apply the distributive property and then, group each like term.

The distributive property states that:

(a+b+c)(d+e+f)=a*d+a*e+a*f+b*d+b*e+b*f+c*d+c*e+c*f

Then, we have to group each like term. Like terms are the terms that have the same variable and exponent , for example:

x+x+x^{2}=2x+x^{2}

For this case, the variable "x" has two Like terms, since both have the same exponent (1), then, we add each other in order to group term.

Also, we must remember the following power property:

Product of powers property,

a^{n}*a^{m}=a^{n+m}

So, solving the product we have:

(x^{2}+3x+1)(x^{2}+x+2)=x^{2}*x^{2}+x*x^{2}+2x^{2}+3x*x^{2}+3x*x+6x+x^{2}+x+2\\(x^{2}+3x+1)(x^{2}+x+2)=x^{2+2}+x^{1+2}+2x^{2}+3x^{2+1}+3x^{1+1}+6x+x^{2}+x+2\\(x^{2}+3x+1)(x^{2}+x+2)=x^{4}+4x^{3}+6x^{2}+7x+2

Have a nice day!

Bogdan [553]3 years ago
4 0

Answer: x^4+4x^3+6x^2+7x+2

Step-by-step explanation:

To solve the exercise you must apply the following proccedure:

- Apply the distributive property.

- Keep on mind that when you multiply two powers with equal base, you must add the exponents.

- Add like terms.

Therefore, you obtain the following product:

=x^{(2+2)}+x^{(2+1)}+2x^2+3x^{(1+2)}+3x^{(1+1)}}+6x+x^{2}+x+2\\=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2

You might be interested in
The video states that 78% of people carry less than $50 in cash; 40% carry less than $20 in cash, and 9% carry no cash. Suppose
Inessa05 [86]

Answer:

The probability that 12 people in your sample are carrying no cash is 0.0712

Step-by-step explanation:

n = 100

p(no cash) = 0.09

x = 12

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 12) = 0.074.

The probability that 12 people in your sample are carrying no cash is 0.074.

n = 100

p(less than 50) = 0.78

x = 75

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 75) = 0.0712

The probability that 12 people in your sample are carrying no cash is 0.0712

6 0
3 years ago
1) What radius of a circle is required to inscribe an equilateral triangle with an area of 15.588 in2 and an altitude of 5.196 i
Andrej [43]
We know that
 the distance from the centroid of the triangle to one of the vertices is the radius of the circle <span>required to inscribe an equilateral triangle.

[distance </span>centroid of the triangle to one of the vertices]=(2/3)*h
h=the <span>altitude  of the equilateral triangle-----> 5.196 in
so
</span>[distance centroid of the triangle to one of the vertices]=(2/3)*5.196
[distance centroid of the triangle to one of the vertices]=3.464 in----> 3.5 in

the radius is equal to the distance of the centroid of the triangle to one of the vertices
hence
the radius is 3.5 in

the answer is
the radius is 3.5 in

8 0
3 years ago
Read 2 more answers
Is this statement true or false -7 -2 &gt; 6 - 14
exis [7]

Answer:

false

Step-by-step explanation:

(-7-2) > (6-14)

-7-2 = -9

6-14 = -8

-9 is not > -8, because -9 is farther to the left on a number line. So, this statement would be false.

6 0
3 years ago
Escribe tres números distintos qué sean divisibles por 2,3,5,9,10​
Nana76 [90]

Answer: 90, 180, 270

Step-by-step explanation: 90 es divisible por todos esos números. Para obtener dos números más que sean divisibles por esos, simplemente multiplique 90 por 2 y 3.

8 0
3 years ago
Hey yall, my other meeting ended,
8090 [49]

Answer:

no bro that's a bad idea

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • How will fit in the box
    13·2 answers
  • What percent is .0.62
    9·2 answers
  • Graph the function: h(x)=1/4(x-1)(x+7)
    9·1 answer
  • Four balls of wool make 8 knitted caps how much many balls of wool will Malcom
    9·1 answer
  • I don’t know the ratio to this question
    13·1 answer
  • One ball is to be selected from a box containing red, white, blue, yellow, and green balls. If the probability that the selected
    9·1 answer
  • Drag each expression to show whether it is equivalent to −1.3−(−8.9) -1.3 x - -8.9 x , −1.3+(−8.9) -1.3 x + -8.9 x , or neither.
    5·2 answers
  • Which expression correctly represents "eight times the difference of four and a number"?
    14·1 answer
  • A plane took 3h 33 min to finish a journey. If the distance of the journey was 2840 miles, at what average speed did the plane t
    12·2 answers
  • A water station table at a marathon starts with 200 plastic cups on it. Every minute, 15 cups are taken from the table. How many
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!