Question

P(x)=x5+x7+6x3+4x+3,find the degree of px

Answer 1

Answer:

7

Explanation:

Degree of a polynomial is the highest power of the variable in a polynomial .

Answer 2

Answer- The above question is from the chapter 'Polynomials'.

Let's know about polynomials first.

Polynomial- It is an algebraic expression involving use of variables and constants.

p(x)- It is used to denote a polynomial. It is read is 'Polynomial in x'.

Polynomials can be classified on two basis:

1) Number of terms

E.g.- Polynomial with one term is called monomial.

Two terms- binomial

Three terms- trinomial

2) Power of variable

E.g.- Polynomial with degree 1 is called linear polynomial.

degree 2- quadratic polynomial

degree 3- cubic polynomial

degree 4- bi-quadratic polynomial

Degrees are the highest power of the variable or literal.

Given question: Find the degree of p(x) = x⁵ + x⁷ + 6x³ + 4x + 3.

Solution: The degree of p(x) = 7 (being the highest power of p(x)).