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3 years ago

What is the degree of the polynomial 5x^2y^2 + 4y^3 + 3x + 10

Mathematics

1 answer:

anyanavicka [17]3 years ago

4 0

The answer would be 4

Example- The degree is the term with the greatest exponent.

Recall that for y2, y is the base and 2 is the exponent.

More examples showing how to find the degree of a polynomial.

Example #1: 4x2 + 6x + 5

This polynomial has three terms. The first one is 4x2, the second is 6x, and the third is 5.

The exponent of the first term is 2.

The exponent of the second term is 1 because 6x = 6x^1.

The exponent of the third term is 0 because 5 = 5x^0.

What? 5x^0 = 5?

Well, anything with an exponent of 0 is always equal to 1.

Thus, 5x^0 = 5 × x^0 = 5 × 1 = 5

Since the highest exponent is 2, the degree of 4x^2 + 6x + 5 is 2.

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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2 years ago

Represent the geometric series using the explicit formula. 3, −6, 12, −24, … f(n) = 3 ⋅ (2)(n−1) f(n) = 3 ⋅ (−2)(n−1) f(n) = f(n

mr Goodwill [35]

Answer:

$f(n)=(-2)(n-1)$

Step-by-step explanation:

Each term of this Geometric Series (3, −6, 12, −24, ...) can also be found through this explicit formula: $f(n)=(-2)(n-1)$ Because the $n^{th}$ term is found by the product of its common ratio "q", times its predecessor n-1. Where n, refers to the order of the term.

So let's test it, suppose we want to find the 4th term. We know the common ratio and the first term. Then we can write f(n) as:

$\\f(n)=3(-2)^{n-1}$

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The explicit formula is ok.

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3 years ago

(EASY TASK)

Ghella [55]

Answer: 8

Step-by-step explanation:

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2 years ago