Mathematics, 08.10.2019 23:00 giavanleer14

1. is the function f(x)=5x^2-3x^4+3/4x-7 a polynomial function? if so, state its degree and the leading coefficient. a. the function is not a polynomial b. the function is a polynomial. the degree is 2 and the leading coefficient is 5 c. the function is a polynomial. the degree is 4 and he leading coefficient is -3. d. the function is a polynomial. the degree is 4 and the leading coefficient is 5.

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A polynomial is an equation where we have different coefficients and variables, such that the order of the polynomial depends on the exponents of these variables that must all be whole numbers.

We will see that the correct option is C:

"The function is a polynomial. The degree is 4 and the leading coefficient is -3. "

Here the function is:

$f(x) = 5*x^2 - 3*x^4 + \frac{3}{4}*x - 7$

The variable is x, and we can see that all the exponents are whole numbers, so yes, this is a polynomial.

Now we also want to find the degree and the leading coefficient of this polynomial.

The degree is the largest exponent of the polynomial, which we can see is 4.

And the leading coefficient is the coefficient of the term with the largest exponent.

In this case, the leading coefficient is -3.

Then the correct option is:

C: "The function is a polynomial. The degree is 4 and the leading coefficient is -3. "

If you want to learn more, you can read:

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Answer from: jasminecoronetti44

Step-by-step explanation:

If we put this polynomial (yes it is a polynomial) in order of descending powers of x, it would be

$f(x)=-3x^4+5x^2+\frac{3}{4}x-7$

The definition of a polynomial is an expression of more than 2 algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Not just a sum. A difference too, but since every subtraction problem can be written as an addition, that's why they say "the sum of several terms". The degree of the polynomial is the same as the highest power of x. Ours is a 4th degree. The leading coefficient is the first number that leads the polynomial when it is put into order of descending powers of x. Our coefficient is -3. To sum up:

Yes, it is a polynomial; it is a degree 4 with a leading coefficient of -3

That is choice C

Answer from: Quest

answer4 to the second power is 16

and 4 to the third power is 64,

Answer from: Quest

step-by-step explanation:

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1. is the function f(x)=5x^2-3x^4+3/4x-7 a polynomial function? if so, state its degree and the lea...

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