Q. 14.1( 54 Votes )

# Find the degree of the following polynomials:

(i) P(x) = x^{77} – 20x^{23} + 100

(ii) P(m) = 22m^{2} – 900m^{4} – m^{6}

Answer :

**Concept Used:**

The degree of a polynomial is the highest power of the variable.

**Explanation:**

(i) P(x) = x^{77} – 20x^{23} + 100

In the given polynomial, the highest power is 77 in x^{77}

Therefore, 77 is the degree of the polynomial

(ii) P(m) = 22m^{2} – 900m^{4} – m^{6}

In the given polynomial, the highest power is 6 in –m^{6}

Therefore, 6 is the degree of the polynomial.

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