Respuesta :
Answer:
A) Degree: 4
Descending order: 11x^4 - 4x^2 - 12
B) Degree: 5
Descending order: 2x^5 - 3x^4 + 3x^3 + 7x + 14
Step-by-step explanation:
Let's start with A. In descending order, the exponents of the polynomial go down with each term. The term with the largest exponent is 11x^4, so this goes first. Next is -4x^2, so this goes 2nd. Last is -12. So, we have 11x^4 - 4x^2 - 12. To find the degree, it's just the largest exponent, so it is 4.
Now for B. The largest exponent is 5, so the degree is 5, and that term is 2x^5, so this will go first. Keep on looking for the next highest exponent untill you get down to 14, so the answer is 2x^5 - 3x^4 + 3x^3 + 7x + 14.
For each polynomial, the degree and the polynomial in descending order. A) Degree: 4, Descending order: [tex]11x^4 - 4x^2 - 12[/tex]
B) Degree: 5, Descending order: [tex]2x^5 - 3x^4 + 3x^3 + 7x + 14[/tex]
What is a polynomial?
They are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and non-negative exponentiation of variables involved.
In descending order, the exponents of the polynomial of each term.
[tex]11x^4 - 4x^2 - 12[/tex]
The term with the largest exponent
= [tex]11x^4[/tex],
The largest exponent, so it is 4.
In descending order, the exponents of the polynomial of each term.
[tex]2x^5 - 3x^4 + 3x^3 + 7x + 14.[/tex]
The largest exponent is 5, so the degree is 5
Learn more about polynomials here:
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