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2 years ago

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.

Mathematics

1 answer:

brilliants [131]2 years ago

3 0

Degree: 5; leading coefficient: 10

Option D is correct.

Step-by-step explanation:

We need to identify if $f(x) = 10x^5 + 7x^4+5$ is a polynomial function, then state its degree and leading coefficient or not.

Polynomial

A polynomial is an algebraic expression containing two or more terms that have same variables but may have different exponents combined through mathematical symbol(+,-,*or/)

So, $f(x) = 10x^5 + 7x^4+5$ is a polynomial function

Degree of polynomial

The degree of polynomial is the highest degree obtained by sum of all exponents of individual terms in the polynomial.

So, $f(x) = 10x^5 + 7x^4+5$ has highest degree 5

Degree = 5

Leading Coefficient

The leading coefficient is the coefficient of first term of the polynomial.

So, $f(x) = 10x^5 + 7x^4+5$ has leading coefficient = 10

So, Leading coefficient = 10

So, Degree: 5; leading coefficient: 10

Option D is correct.

Keywords: Polynomials

Learn more about Polynomials at:

#learnwithBrainly

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Masteriza [31]

Answer:

<em>D. The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter </em>

Explanation:

The word is not probably, which has 8 letters, but probability, which has 11 letters

<u>1. Hal</u>

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The total number of letters in the bag is 11.

Probability of vowel = 5 / 11

<u>2. Renee</u>

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The consonants are: p, r, b, b, l, t, and y: 7

Probability of a drawing a consonant: 7 /11

<h2>Conclusion</h2>

As you see, the probability of drawing a vowel (5/11), which is the winning letter for Hal, is less than the probability of drawing a consonant (7/11), which is the winning letter of Renee. Then,

The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter.

8 0

3 years ago

I asked before and didn’t get an answer I really don’t understand this thanks.

dmitriy555 [2]

The answer is D, because that is what you should get when you multiply it out.

4x^2 times x^2 = 4x^4 because...

1) multiply the 4 and the one in front of the x on the second term = 4 then

2) multiply x^2 times x^2 to get x^4, not x^3, so you can immediately eliminate A and B to save time.

Now let's deal with the second part..."may or may not be" part

A polynomial is an expression with more than two algebraic terms

terms are like...
2x + 3y ---there's two terms there, eventhough the 2 and x are multiplied, it doesn't count (same with the 3 and y)
since it only have two terms, not more than two terms, it is called a binomial, not polynomial. I think that's what they mean by that

one term with a variable (y,x,and so on) is called a monomial

one term with no var is called a constant

there's many more but hope this gave you some help

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