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
Alika [10]
3 years ago
15

Write the expression as a polynomial: (5–2a+a^2)(4a^2–3a–1)

Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer: 4a^4 - 11a^3 + 25a^2 - 13a - 5

Explanation:

Check out the attached image below for the box method diagram. It's basically a 3 by 3 box showing all the 9 terms, some of which combine together (only the like terms though).

Each inner box or inner cell is the result of multiplying the outer terms. For example, in row 2, column 2 we have the outer terms -3a and -2a multiply to get 6a^2. Figure 1 shows the full table filled out while figure 2 has that same table highlighted with different colors to show the like terms.

The like terms are:

-15a and 2a, which combine to -13a

20a^2, 6a^2 and -a^2 which combine to 25a^2

-8a^3 and -3a^3 which combine to -11a^3

Those results are added to the other terms but we do not combine them (as they are not like terms). That's how we end up with the final answer. This is a quartic polynomial as the degree (largest exponent) is 4. There are five terms in this polynomial when fully simplified.

You might be interested in
Solve for x: (5x + 12) = 18
Aleksandr [31]
Solutions 

<span>Simplify brackets 
</span>
5x+12=18 

Subtract 12 <span>from both sides 
</span>
5x=18-12 

Simplify <span>18−12</span><span> to </span>6 

5x=6 

Divide both sides by <span>5 
</span>
x=<span>6/<span>5</span></span>
5 0
3 years ago
Read 2 more answers
For f(x) = 3x +2 and g(x)=x²-5, find (f•g)(x)​
8_murik_8 [283]

Answer:

2/(x²-5)+3x(x²-5)

Step-by-step explanation:

<h2>Mark as brainlest answer</h2>

3 0
3 years ago
Look up non-degenerate triangle definition
makvit [3.9K]
<span>Adegenerate triangle is the "triangle" formed by three collinear points.</span>
7 0
3 years ago
For the function F(x) = 1/4 * 2 ^ I , what is F(3) ?
Usimov [2.4K]

Answer:

What I DONT KNOW

Step-by-step explanation:

7 0
3 years ago
An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is
lys-0071 [83]

Answer:

y = 2

y = 6

Step-by-step explanation:

The first thing to do is to find the turning point of the function. For this, derive and equal zero to expression

\frac{\delta y}{\delta x} = 3x^2 +6x

\frac{\delta y}{\delta x} = 0

3x^2 +6x = 0

3x(x +2) = 0

x = 0 and  x = -2

We have 2 inflection points.

Then we have 2 tangent lines:

At the point (0, 2)

Since it is a point of inflection, then the slope of this line is 0. Therefore the tangent line is:

y = 2.

At the point (-2, 6).

The slope of this line is 0.

The equation of the tangent line to the function is:

y = 6

3 0
3 years ago
Other questions:
  • How do you write 12c-c in simplest form (Algebra)
    5·2 answers
  • In order to reduce their debt, the Johnsons sold some real estate property valued at $165,000 for $143,000. They paid off a loan
    8·2 answers
  • A hiker travels 45 degrees north of east for 30 km. What is his NORTH (or y) displacement component? Round your answer and inclu
    8·1 answer
  • Pls help i dont know how to do it
    9·2 answers
  • Which function has the same domain as y=2 square root x
    7·2 answers
  • Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card random
    9·1 answer
  • Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is
    13·1 answer
  • What is the solution to 2x-8=5x+4
    12·1 answer
  • What’s the value of x? <br> y= 5x + 9<br> y= -x + 3
    7·2 answers
  • John drew a polygon with 2 line segments that meet to form a right angle.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!