Question

how do u find the degree of EACH polynomial
(i) xy+yz+zx+3xyz
(ii) a²+b²+c²-3abc

Answer 1

Answer:

(i) 3

(ii) 3

Step-by-step explanation:

Hello Kyrab!

Degree of a polynomial having variables raised to different powers is the highest power among them.

Example (one variable polynomial): x⁶ - x⁴ + 6

Powers: 6, 4

So highest, 6.

(Multiple variables)

Example: xy + y - 2

Trick: Put x in place of every variable

x(x) + x = 2, that is, x² + x - 2

So, the powers are 2, 1

Highest -> 2

(i) xy + yz + zx + 3xyz

Apply the secret trick! Put x in place of every variable,

x(x) + (x)(x) + (x)x + 3x(x)(x)

= x² + x² + x² + 3x³

Powers are 2 and 3

Highest: 3, is the degree.

(ii) a² + b² + c² - 3abc

Apply the trick,

x² + x² + x² - 3x³

Highest power is 3, so degree is 3.

Here's an exercise question for you, find the degree of the polynomial:

2a⁵ + 5a³b³ + c⁴ - 11a²b³c⁴

You will get the answer as 9! ;)

_________________________

Hope that helps!

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