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
posledela
3 years ago
6

Louise begins factoring the polynomial, which has four terms.

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Louise wants to factorize completely the given polynomial 4x^{3}+12x^{2}+5x+15

Grouping first, second terms together and third, fourth terms together

= 4x^{3}+12x^{2}+5x+15

Taking 4x^{2} common from first and second terms of the given expression and taking 5 common from the third and fourth terms.

==4x^{2}(x+3)+5(x+3)

Taking (x+3) common from the given expression,

==(4x^{2}+5)(x+3) is the completely factored form.

You might be interested in
What is the slip of the line 4x-2y=5
Eddi Din [679]

If you mean slope.. the equation to set up is y=mx+b. Using this, and finding out the answer m=2.

Hope this helped!

4 0
3 years ago
Given: Triangle ABC, mmBC=24 cm, line segment AL- < bisector
Furkat [3]

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

But angle B = 2 Angle A

x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

0. 8660 = x/24

Cross multiply

x = 24 × 0. 8660

x = 20. 78cm

We have the angle of A  in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

#SPJ1

6 0
1 year ago
If you are selling a item for 38.50 for 30% what would it be
Rzqust [24]
If you were selling an items for $35.50 as the original price, but you give 30% off the item price then the result of it's cost would be: 
Sale / Discounted Price: $26.95
Then if you're wondering, you'll be saving this amount of money:
Amount Saved (Discount): $11.55
Hope this helps!
3 0
3 years ago
Read 2 more answers
I need help on parallelograms.
Kazeer [188]

y=15

5y-20=2y+25 move terms

5y-2y = 25+20 calculate like terms

3y=45 divide both sides by 3

8 0
3 years ago
Read 2 more answers
Before the clowns arrived, only 35% of the children wore happy faces. If 117 children did not wear happy faces, how many childre
denis-greek [22]

Answer:

180

Step-by-step explanation:

If 35% did not wear happy faces, then 100% -35% = 65% did wear happy faces.

Then we have ...

... 117 = 65% × (all children)

... 117/0.65 = all children = 180 . . . . . . divide by 65% = 65/100 = 0.65

There were 180 children in all.

4 0
2 years ago
Other questions:
  • Find 3 consecutive even integers if their sum decreased by 10 equals -22
    7·1 answer
  • Please help, <br><br> 250 divided by 86
    13·2 answers
  • How would you use operations and grouping symbols to rewrite your answer as a numerical expression.
    12·1 answer
  • Brain has reduced his cholesterol level by 15% by following a strict diet and regular exercise. If his original level was 240, w
    6·1 answer
  • The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years
    14·1 answer
  • A truck can be rented from Company A form ​$130 a day plus $0.30 per mile. Company B charges ​$50 a day plus $0.80 per mile to r
    6·1 answer
  • Please help!!! no links or I will report!!! #6
    11·1 answer
  • Please Help!
    11·1 answer
  • YOO I NEED HELP
    12·1 answer
  • Please look at attchment and answer.​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!