Q. 24.3( 7 Votes )

Write the degree of the polynomial for each of the following.

i. 5 + 3x4

ii. 7

iii. ax7 + bx9 (a, b are constants)

Answer :

i. The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.
Here,

3x4 + 0.x3 + 0.x2 + 0.x + 5


Therefore, the degree of this polynomial is 4


ii. The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.


Here,


7x0.


Therefore, the degree of this polynomial is 0


iii. The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.


Here,


b.x9 + 0.x8 + a.x7 + 0.x6 + 0.x5 + 0.x4 + 0.x3 + 0.x2 + 0.x1 + 1


Therefore, the degree of this polynomial is 9.


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