Question

Write down the degrees of the following polynomials: -
i. 3x3−x53x3−x5
ii. x2y4+xy2+11xyx2y4+xy2+11xy
iii. 7a2+11b2+b67a2+11b2+b6
iv. a3+b3+c3−3abca3+b3+c3−3abc 
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Answer 1

Answer:

The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.

Degree of

first term =x

5

y

6

=5+6=11

Second term =−7x

3

y

10

=3+10=13

Third term =20x

5

y

6

z

5

=5+6+5=16

∴ the highest power is 16

∴ Degree of the polynomial=16