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lesya [120]
2 years ago
12

Is the expression 3x^2-5x^3 a Polynomial? If yes, what is the degree?

Mathematics
1 answer:
Paraphin [41]2 years ago
4 0

Answer: The answer is: it is a fifth degree binomial or 'quintic binomial'.

Step-by-step explanation:

Is the expression 3x^2-5x^3 a polynomial?

So, we have to know what polynomial means. A polynomial is... "an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables."

So let's take a look at this expression.

Does it consist of variables and coefficients? YES

Does it only involve operations of addition, subtraction, multiplication, and non-negative integer exponents of variables? YES

Therefore, it is a polynomial.

Now, we have to figure out what degree this polynomial is.

The degree of the polynomial is the degree of the monomial with the largest degree.

So the largest degree would be the 3rd degree, because it is, of course, the largest out of the two powers listed.

And also, keep in mind that this is a binomial (made up of two monomials).

Therefore, it is a fifth degree binomial or 'quintic binomial'.

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Find the highest common factor [HCF] of 10 and 17
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Which statement describes the function y = axn when a = 1 and n is odd?
kiruha [24]

Answer:

The graph is symmetric about the origin.

The graph does not pass through the origin.

Step-by-step explanation:

We're given:

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The function y = n will produce a horizontal line. Any function in the form of y = a single number, such as 4 or 9.3 will produce a horizontal line.

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This is also true. We're given that n is an odd number. The graph will only pass through the origin if n = 0, and 0 is even.

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The points plotted below are on the graph of a polynomial. Which of the following x-values best approximate roots of the polynom
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The correct options are:

x= -1.1

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The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.

We can see in the graph that there are three points where the value of polynomial becomes 0. that are

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The answer is D. g(x) = (x+4)^2 - 2

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This is because f(x) = (x-h)^2 + k

where h = horizontal translations and k = vertical translations

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