Question

22.
10.(i) Write any five polynomials and find the
degree of the polynomials
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Answer 1

Answer:

Degree 3 – cubic. Degree 4 – quartic (or, if all terms have even degree, biquadratic) Degree 5 – quintic. Degree 6 – sextic (or, less commonly, hexic)

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Answer 2

For example: 6x4 + 2x3+ 3 is a polynomial.  Here 6x4, 2x3, 3 are the terms where 6x4 is a leading term and 3 is a constant term. The coefficients of the polynomial are 6 and 2.

The degree of the polynomial 6x4 + 2x3+ 3 is 4.

Let’s take another example: 3x8+ 4x3 + 9x + 1

The degree of the polynomial 3x8+ 4x3 + 9x + 1 is 8.

(i.e) x3 + 6x2y4 + 3y2+5

The degree of the polynomial is 6.

Because in the second term of the algebraic expression,  6x2y4, the exponent values of x and y are 2 and 4 respectively. When the exponent values are added, we get 6. Hence, the degree of the multivariable polynomial expression is 6.

So, if “a” and “b” are the exponents or the powers of the variable, then the degree of the polynomial should be “a + b”, where “a” and “b” are the whole numbers.

Degree of a Zero Polynomial

A zero polynomial is the one where all the coefficients are equal to zero. So, the degree of the zero polynomial is either undefined, or it is set equal to -1.