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NNADVOKAT [17]
3 years ago
13

Explain what terms and degrees are and how. How are they used to classify polynomials? Also explain why this polynomial (4x2y +

5xy) is classified as a 3rd degree binomial?
Mathematics
1 answer:
user100 [1]3 years ago
6 0
When a polynomial has more than one variable, we need to look at each term. Terms are separated by + or - signs. Find the degree of each term by adding the exponents of each variable in it. <span>The degree of the polynomial is found by looking at the term with the highest exponent on its variables.
</span>
Polynomials can be classified in two different ways - by the number of terms and by their degree. A monomial is an expression with a single term. It is a real number, a variable, or the product of real numbers and variables. A polynomial is a monomial or the sum or difference of monomials. A polynomial can be arranged in ascending order, in which the degree of each term is at least as large as the degree of the preceding term, or in descending order, in which the degree of each term is no larger than the degree of the preceding term. 

The polynomial (4x^2y + 5xy) is classified as a 3rd degree binomial, because the monomial 4x^2y has degree equal to 3 and the monomial 5xy has degree equal to 2. The highest degree is 3, therefore the polynomial (4x^2y + 5xy) is classified as a 3rd degree polynomial. Since polynomial <span><span> (4x^2y + 5xy)</span> has two terms, then it is classified as binomial.</span>






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Sue deposited $52 into her bank account, so she currently has $12 in her account. What was her balance before the deposit?
Semenov [28]

Answer:

-40

Step-by-step explanation:

12 - 52 = -40

hope this helps...

7 0
3 years ago
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What is the simplified form of the expression? 2√18-5√32
Sloan [31]
The answer would be -14<span>√2 or the decimal form is 19.79898987...</span>
7 0
3 years ago
A wise man once said, “ 500 reduced by 4 times my age is 268.” What is his age?
Alla [95]

Answer:

58 years old

Step-by-step explanation:

the equation would be 500-4x=268 with x being his age.

subtract both sides by 500 to get -4x=-232

then divide both sides by -4 to get x=58

8 0
3 years ago
F(x)=4x^2+3x+13<br><br> Find f(1)
Pani-rosa [81]

Answer:

f(1) = 42

Step-by-step explanation:

Step 1: Switch all x out to 1 for f(1) which would look like this: f(1)=4(1)^2+3(1)+13

Step 2: You would then simplify it starting with 4(1)^2 which would equal 4 squared which equals 16.

Step 3: After simplifying you would have f(1)=16+3+13

Step 4: You then just add and get 42

Hope this helped :D

7 0
3 years ago
If using the method of completing the square to solve the quadratic equation x^2-10x-13=0, which number would have to be added t
Maru [420]

Answer: The solution to the problem is based on the solutions

from the subproblems.

x = {8.464101615, 1.535898385}

Step-by-step explanation:  

x^2-10x+13=0

Simplifying

x2 + -10x + 13 = 0

Reorder the terms:

13 + -10x + x2 = 0

Solving

13 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.

13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:

13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0

0 + -10x + x2 = 0 + -13

-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13

-10x + x2 = -13

The x term is -10x.  Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -13 + 25

Reorder the terms:

25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12

25 + -10x + x2 = 12

Factor a perfect square on the left side:

(x + -5)(x + -5) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting  

(x + -5) equal to 3.464101615 and -3.464101615.

6 0
3 years ago
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