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
goblinko [34]
2 years ago
11

Multiplying and factoring polynomial expressions (9th grade)

Mathematics
1 answer:
lutik1710 [3]2 years ago
5 0

Answer:

1. 2(a^2 + 3a + 9)

2. 5(x^2 - 1)

3. 3(t + 8)(t - 2)

4. n(4 - n)

Step-by-step explanation:

For 1, you can only factor out the constant from each.

For 2, you can also only factor out the constant, but remember that you include the 1 when dividing 5 by 5.

For 3, you can factor out the constant and the variables.

For 4, you can only factor out the variable.

You might be interested in
Find the value of x. Write your answer in simplest form.<br> (82<br> The value of x is
xxMikexx [17]

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

In an isosceles right triangle, the side length ratios are ...

  1 : 1 : √2 = x : x : 8√2

The latter ratios will match the first ratios when x=8.

__

That is, x = (8√2)/(√2) = 8.

8 0
3 years ago
A rental car company is running two specials. Customers can pay $40 to rent a compact car for the first day plus $6 for each add
Flura [38]

Answer: she wants to rent the car for 11 days.

Step-by-step explanation:

Let x represent the number of additional days that Pamela wants to rent the car for.

Customers can pay $40 to rent a compact car for the first day plus $6 for each additional day. This means that the total cost of using this special for x days would be

40 + 6(x - 1) = 40 + 6x - 6

= 34 + 6x

Also, they can rent the same car for $30 the first day and $7 for every additional day beyond that. This means that the total cost of using this special for x days would be

30 + 7(x - 1) = 30 + 7x - 7

= 23 + 7x

Since she found out that the two specials are equivalent for x days, then

34 + 6x = 23 + 7x

7x - 6x = 34 - 23

x = 11

4 0
3 years ago
According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
HACTEHA [7]

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

3 0
3 years ago
Simplify the equation <br><br> (-0.75x - 3) -(3.5x +8.4 )
sveta [45]
-2.77x - 11.4. Is the answer to your question
8 0
3 years ago
Read 2 more answers
Please help with this question
stealth61 [152]

Answer:

hi Step-by-step explanation:April 12, 1861: Battle of Fort Sumter. ...

June 30, 1861: Battle of Philippi. ...

July 21, 1861: First Battle of Bull Run/First Battle of Manassas. ...

August 28-29, 1861: Battle of Hatteras Inlet Batteries. ...

October 21, 1861: Battle of Ball's Bluff. ...

November 7, 1861: Battle of Belmont. ...

January 19, 1862: Battle of Mill Springs.

6 0
3 years ago
Other questions:
  • 55 is 40% of what number?
    9·2 answers
  • the combined weight of an older sister and her baby brother is 74 pounds. The weight of the older sister is 2 pounds less than t
    5·1 answer
  • Pizzas for a party cost $48 plus a tip of $8 for the delivery person. Seven people split the bill equally. Which expression show
    12·1 answer
  • What is the slope of the line shown below <br> (Check the pictures)
    5·1 answer
  • In the figure which pair of segments appear to be parallel
    9·2 answers
  • How to do substitution method
    5·1 answer
  • In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval
    8·1 answer
  • Can someone help me and work it out plzzzz
    7·1 answer
  • Subtract (3x + 5) - (x + 2).
    6·2 answers
  • How to solve this equation?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!