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
Fudgin [204]
3 years ago
11

If f(x) = x2 − x − 12 and g(x) = x2 − 16, find f(x) × g(x).

Mathematics
2 answers:
Andreyy893 years ago
7 0

Answer:

f(x) × g(x)= x^4 - x^3 - 28x^2 + 16x + 192

Step-by-step explanation:

We have the function f(x) = x^2 − x − 12  and g(x) = x^2 − 16 and we need to find the multiplication of both functions.

f(x) × g(x) = ( x^2 − x − 12)(x^2 − 16) = x^4 - 16x^2 -x^3 + 16x -12x^2 + 192

Simplifying:

f(x) × g(x)= x^4 - x^3 - 28x^2 + 16x + 192

romanna [79]3 years ago
3 0

Answer: f(x)*g(x)=x^4-x^3-28x^2+16x+192

Step-by-step explanation:

Given the function f(x) and g(x):

f(x)=x^2 - x -12\\\\g(x)= x^2 - 16

We need to multiply them. To do this we need to remember the Product of power property, which states:

(a^m)(a^n)=a^{(m+n)}

And the multiplication of signs:

(+)(+)=+\\(+)(-)=-\\(-)(-)=+

Then:

f(x)*g(x)=(x^2 - x -12)(x^2 - 16)\\\\f(x)*g(x)=x^4-16x^2-x^3+16x-12x^2+192

Adding like terms, we get:

f(x)*g(x)=x^4-x^3-28x^2+16x+192

You might be interested in
Which ratios are proportional to 6/8 ? Choose all answers that are correct.
Step2247 [10]
3/4 is one of them and 12/16
6 0
3 years ago
Read 2 more answers
The poster shows how many of its games of football team has won so far.Express this information as a fraction a,percent and as a
Harrizon [31]
12/15
Divide 12 by 15 and then you should get 0.8
0.8 is obviously equal to 8/10ths or 80% 
Hope this helps :)
4 0
3 years ago
HELP :Write the expression as the<br> sine or cosine of an angle.
Reptile [31]

Answer:

sin(4π/21)

Step-by-step explanation:

Step 1: Rearrange expression

sin(π/3)cos(π/7) - cos(π/3)sin(π/7)

Step 2: Use sin(A ± B)

sin(π/3 - π/7)

Step 3: Evaluate

sin(4π/21)

And we have our answer!

5 0
3 years ago
Determine which choice best shows the distributive property of multiplication.
WITCHER [35]

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

<u><em>Distributive property of multiplication</em></u>

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

4 0
3 years ago
I need help with this geometry
Marysya12 [62]
2x - 3y = 9
- 3y = -2x + 9
y = (-2x + 9)/-3

slope = -2
Since the slope is negative the line passes through quadrants 2 and 4
Therefore the answer is b.
5 0
3 years ago
Other questions:
  • ***I NEED HELP PLEASE***
    11·1 answer
  • 5.- En una canasta hay 60 duraznos. Evelyn los va
    6·2 answers
  • Five plus five i dont understand. please answer for .
    11·2 answers
  • The caldwells are moving across the country. Mr Caldwell leaves 3 hours before Mrs Caldwell. If he averages 45 mph and she avera
    12·1 answer
  • What formula should be used when factoring the expressionn x^3+27
    9·1 answer
  • The students in Mr. Rivera's art class are designing a stained-glass window to hang in the school entryway. The window will be4
    8·1 answer
  • PLEASE HELP ITS A TIMED TEST!!!
    8·1 answer
  • Please help me!!!<br> solve for f : 5/6 f =5<br> 1. 5<br> 2. 4.2<br> 3. 7.3<br> 4. 6
    14·1 answer
  • Sun spot activity goes in an eleven-year cycle. The last cycle started in 2008 and ended in 2018. Here is the activity per year
    9·1 answer
  • Please help me and tell me step by step
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!