For the polynomial (x³ + 2x + 1)/5 - 7x²/2 - x⁶, write the degree of the polynomial
Solution:
Given, the polynomial is (x³ + 2x + 1)/5 - 7x²/2 - x⁶
We have to find the degree of the polynomial.
The highest degree exponent term of the polynomial is known as the degree of the polynomial.
Types of polynomial based on degree,
1) zero polynomial - all the coefficients of the polynomial are zero.
2) Constant polynomial - polynomial with highest degree as zero, it has no variable only constants.
3) Linear polynomial - polynomial with highest degree as one
4) Quadratic polynomial - polynomial with highest degree as two
5) Cubic polynomial - polynomial with highest degree as three.
6) Bi-Quadratic or quartic polynomial - polynomial with highest degree as four.
7) Quintic polynomial - polynomial with highest degree as five
8) Sextic or hexic polynomial - polynomial with highest degree as 6
9) Septic or heptic polynomial - polynomial with highest degree as 7
The highest degree of the exponent x in (x³ + 2x + 1)/5 - 7x²/2 - x⁶ is 6
(x³ + 2x + 1)/5 - 7x²/2 - x⁶ is a hexic polynomial.
Therefore, the degree of the polynomial is six.
✦ Try This: Write the degree of the polynomial of the following : (x³ + x + 1)/7 - x²
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 3(i)
For the polynomial (x³ + 2x + 1)/5 - 7x²/2 - x⁶, write the degree of the polynomial
Summary:
The standard form of a polynomial refers to writing a polynomial in the descending power of the variable. The degree of the polynomial (x³ + 2x + 1)/5 - 7x²/2 - x⁶ is six
☛ Related Questions:
visual curriculum