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BARSIC [14]
3 years ago
11

Find the quotient: (-9w^4 + 7w^2) / -w

Mathematics
1 answer:
weqwewe [10]3 years ago
7 0

Answer:

\frac{ - 9 {w}^{4}  + 7 {w}^{2} }{ - w}  \\  \frac{{w ^{2} }( - 9 {w}^{2} + 7)  }{ - w}  \\  - w( - 9 {w}^{2}  + 7) \\ =  9 {w}^{3}  - 7w

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kondor19780726 [428]

Answer:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

Step-by-step explanation:

We have the expression:

-\frac{x^3}{6} - 10 + x

First, what does that expression represents?

As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.

How many terms are there?

The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.

What is the constant term?

The constant term is the term where the variable, x, does not appear, here the constant term is: -10

What is the leading coefficient?

The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:

-\frac{x^3}{6}  -10 + x = (\frac{-1}{6})*x^3 - 10 + x

the leading coefficient is:

(-1/6)

There is a part of the statement that I can't read, i suppose that there says:

"leading degree"

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