Question

the degree of the polynomial p(x)=2x+5x^3-4x^5+6 is​

Answer 1

Answer:

5

Step-by-step explanation:

as you can see in equation 5 is the greatest power of the polynomial since we know that the greatest power of the polynomial is the degree of the polynomial.

Answer 2

Degree of the polynomial :

$\tt{ p(x) \implies 2x + {5x}^{3} - {4x}^{5} + 6}$

is => $\tt{ 5}$

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✓ Degree of polynomial :

Degree of a polynomial is the term used to denote the highest degree of a polynomial with any of its constant or variable. In simple words the higest power in the given polynomial is the degree of the polynomial.

Eg : $\tt{ {7y}^{3} + {2z}^{2} - 8}$

Here the highest power is 3. So the degree of the given polynomial is 3.

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Additional information :

• If a polynomial has one term it is known as monomial.
• If a polynomial has two terms it is known as a binomial.
• If a polynomial has three terms it is known as a trinomial.
• If a polynomial has four terms it is known as a quadratic polynomial or quadrinomial.
• A polynomial or an algebraic expression has three parts in it :

1. Variable : The term which changes according to the operations performed
2. Constant : The term which never changes and is fixed.
3. Coefficient : The term that is multiplied to the variable and it can be either a constant or a numeral.

Eg : $\tt{ 7x + x - 32}$

7x => Coefficient of x

x => Variable

32 => Constant