. Degree of Polynomial 5x – 7x3 + 9x5 – 2x6 – 3x2 + 2 is
Answers
Answer:
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Given,
The polynomial .
To Find,
The degree of the given polynomial.
Solution,
→ The degree of the polynomial refers to the highest constant exponent in the polynomial.
→ Here, we can arrange all the exponents in the ascending order. We get:
0, 1, 2, 3, 5 and 6
→ In the exponents arranged in ascending order, we can see that the highest exponent is 6 with the base 2x.
→ Therefore the degree of the given polynomial is sextic with the degree of 6.
→ So, is a sextic polynomial (a polynomial of degree 6).
Knowledge Bytes:
→ The degree of the polynomial refers to the highest exponent in the given polynomial. On the basis of the degree of the polynomial, the polynomials are classified as follows:
✳ Constant polynomial - A polynomial of degree 0 is known as constant polynomial.
✳ Linear polynomial - A polynomial of degree 1 is known as linear polynomial.
✳ Quadratic polynomial - A polynomial of degree 2 is known as a quadratic polynomial.
✳ Cubic polynomial - A polynomial of degree 3 is known as cubic polynomial.
✳ Quartic polynomial - A polynomial of degree 4 is known as quartic polynomial.
✳ Quintic polynomial - A polynomial of degree 5 is known as a quintic polynomial and so on...