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
Consider the following system of equations. 2x + 3y = 12 -4x + 5y = -4 Which of the following equations could be used to create
Yuki888 [10]

Answer:

b

Step-by-step explanation:

 -2x+8y=8

7 0
3 years ago
Read 2 more answers
If VW≅VY, WX = s + 69, and XY = 4s, what is the value of s?
Katen [24]

Answer:

s = 23

Step-by-step explanation:

1. VW ≅ VY is given.

2. XV ≅ VX as it is the same side.

3. ∠WVX ≅ ∠YVX as they are both 90°. ∠WVY is 180° as it is a straight line, so both ∠WVX and ∠YVX are exactly half of that.

Given those three things, you can say that ΔWVX ≅ ΔYVX. Because all corresponding parts of congruent triangles are also congruent, you can be sure that WX ≅ XY. Finally, using that information, you can write an equation and solve for s.

s+69=4s\\s-s+69=4s-s\\69=3s\\\frac{69}{3}=\frac{3s}{3}\\s=23

7 0
2 years ago
Which choice answer is it?
Debora [2.8K]

Your answer would be option (1) -3x² - 18x + 19.

To find this we need to substitute in the G and F expressions into G - 3F and see what the outcome is, as this will give us the answer.

First I’m going to multiply the F expression, 2x² + 6x - 5, by 3:

3 × (2x² + 6x - 5) = 3(2x²) + 3(6x) - 3(5) = 6x² + 18x - 15.

Now we need to subtract this expression from G, which is 3x² + 4, which I will do by term:

3x² - 6x² = -3x²

0x - 18x = -18x

4 - -15 = 19

So therefore overall your answer is -3x² - 18x + 19.

I hope this helps! Let me know if you have any questions :)

8 0
3 years ago
Can a right triangle have a leg that is 10inches long and a hypotenuse that is also 10inches long? Why or why not? Explain your
Evgesh-ka [11]

Answer:

No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is

√2:1

If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.

5 0
2 years ago
Arrange 439.216 439.126 439.612 439.261 in decreasing order
Thepotemich [5.8K]

hi <3

439.612, 439.261, 439.216, 439.126

hope this helps :)

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is true about the image AQ'R'S'? Select three<br> options.
    6·1 answer
  • A walking path across a park is represented by the equation Y equals negative 2X -7. A new path will be built perpendicular to t
    14·1 answer
  • Someone please help me with this question? Thanks if you do!
    14·1 answer
  • A six foot man casts a 14 foot shadow. how long is the shadow of a 40 foot tree?
    11·1 answer
  • Which equation could be used to find the value of x in the triangle below?
    10·1 answer
  • 3/4 (x +21) = 10 1/2<br> What does x equal?
    13·2 answers
  • The schoolyard at Kenny's school is a square that is 50 yards long on each side. What is the area of the schoolyard?
    10·2 answers
  • A server sees 84 customers over 6 hours. How many customers did they see in 1 hour?
    15·1 answer
  • Large balloons are sold in packages of 12. Select the expressions that can represent the total number of balloons in p packages
    8·1 answer
  • ANSWER ASAP PLEASEEE
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!