Math, asked by tinkuchawla152, 5 months ago

. Degree of Polynomial 5x – 7x3 + 9x5 – 2x6 – 3x2 + 2 is ​

Answers

Answered by chavdadiptia
0

Answer:

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Answered by BrainlyPhantom
4

Given,

The polynomial 5x\:-7x^3\:+9x^5\:-2x^6\:-3x^2\:+2.

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, 5x\:-7x^3\:+9x^5\:-2x^6\:-3x^2\:+2 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...

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