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den301095 [7]
4 years ago
12

Let f(x)=16x^5-48x^4-8x^3 and g(x)= 8x^2. find f(x)/g(x)

Mathematics
2 answers:
Gekata [30.6K]4 years ago
3 0

Answer:

2x³ - 6x² - x

Step-by-step explanation:

Divide each term in f(x) by g(x), that is

\frac{16x^5}{8x^2} - \frac{48x^4}{8x^2} - \frac{8x^3}{8x^2}

= 2x^{(5-2)} - 6x^{(4-2)} - x^{(3-2)}

= 2x³ - 6x² - x

Natalija [7]4 years ago
3 0

Answer:

f(x) / g(x) = 2x³-6x²-x

Step-by-step explanation:

We have given two functions.

f(x) = 16x⁵-48x⁴-8x³

g(x) = 8x²

We have to find the quotient of given functions.

f(x) / g(x) ?

Firstly , simplify f(x).

f(x) = 8.2x².x³-8.6x².x²-8x².x

Taking 8x² as common , we have

f(x) = 8x²(2x³-6x²-x)

Now,

f(x) / g(x) =  8x²(2x³-6x²-x) / 8x²

f(x) / g(x) = 2x³-6x²-x   which is the answer.

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<u>Step 1:  Compare</u>

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3 0
3 years ago
Hi, the answer is K but can anyone show why
dlinn [17]

Let's do 51 and 52.

51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.

The contrapositive of IF P THEN Q is IF not Q THEN not P.  They're equivalent.  Here that's If the cat is not female then it is not tricolor.

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Answer: K

By the way, usually we assume 0^0=1 so the restriction that x \ne 0 isn't really necessary.  Think of the definition of a polynomial or the binomial expansion:

\displaystyle f(x)=\sum_{k=0}^n a_k x^k

\displaystyle(x+y)^n=\sum_{k=0}^n {n \choose k} x^{k}y^{n-k}

For these common equalities to work when x=0 we need to define 0^0=1


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