find the degree and like terms in the given polynomial 5x^2-2x^2y+y^2+6yx^2
Answers
Answer:
Degre = highest power = 2
Like terms = 5x²,-2x²
2y,y
Answer:
The polynomial 5x² - 2x²y + y² + 6yx² has a degree of 3.
-2x²y and 6yx² are the like terms of this polynomial.
Step-by-step explanation:
Terms with the same variable(s) of the same power(s) are called like terms. Since the numbers -2x²y and 6yx² both have x of power 2 and y of power 1, they are like terms.
To find the degree of polynomial:
First term: 5x²y⁰ : total power (of the variables) = 2+0 = 2
Second term : -2x²y¹ : total power (of the variables) = 2+1 = 3
Third term : y²x⁰ : total power (of the variables) = 2+0 = 2
Fourth term : 6y¹x² : total power (of the variables) = 1+2 = 3
Therefore maximum power is 3 and is thus the degree of the polynomial.
Please note that when a variable is not there means it's in power 0. Anything to the power 0 is 1.
3 = 3n⁰, 4xy = 4x¹y¹z⁰, etc etc.
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