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TEA [102]
3 years ago
8

(a^3+14a^2+33a-20)\(a+4)

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0
Perhaps you meant   <span>(a^3+14a^2+33a-20)   /   (a+4), for division by (a+4).  

Do you know synthetic division?  If so, that'd be a great way to accomplish this division.  Assume that (a+4) is a factor of </span>a^3+14a^2+33a-20; then assume that -4 is the corresponding root of a^3+14a^2+33a-20.

Perform synth. div.  If there is no remainder, then you'll know that (a+4) is a factor and will also have the quoitient.

-4  /   1   14   33   -20
     ___    -4_-40    28___________
          1   10   -7       8

Here the remainder is not zero; it's 8.  However, we now know that the quotient is 1a^2 + 10a - 7 with a remainder of 8.
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Answer:

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Step-by-step explanation:

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6 0
1 year ago
How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove
BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

\dfrac{9}{n^2+1} =\dfrac{n+3}{4}

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

brainly.com/question/15070282

5 0
2 years ago
What is -6 divided by 3/7x
Sphinxa [80]

Step-by-step explanation:

- 6  \div   \frac{3}{7x}  \\  \\  =  - 6 \times  \frac{7x}{3}  \\  \\  =  - 2 \times 7x \\  \\  =  - 14x

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3 years ago
Alexandra buys sweatshirts for $12 each. In her store, she sells each sweatshirt for $30.
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7 0
3 years ago
Read 2 more answers
Subtract (2x3 + 9x − 8) − (4x2 − 15x + 7).
STatiana [176]
2x^3 + 9x - 8 - (4x^2 - 15x + 7)....distribute thru the parenthesis
2x^3 + 9x - 8 - 4x^2 + 15x - 7....combine like terms
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7 0
2 years ago
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