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Harley Jackson
Mathematics
19 September, 03:06
Classify this polynomial 5x^2 + 3
+2
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1
)
Dane Powers
19 September, 03:10
0
Degree is 2 so it is a quadratic.
The number of terms is 2 so it is a binomial.
It is a binomial quadratic.
Step-by-step explanation:
Let's find the degree of the polynomial first. I'm going to consider first the degrees of 5x^2 and 3.
The degree of the monomial 5x^2 is 2 because x is the only variable and it's exponent is 2.
The degree of the monomial 3 is 0 because there is no variable.
The degree of 5x^2+3 is therefore 2 because that is the highest degree of the monomials contained with in this polynomial 5x^2+3.
Degree 2 has a special name.
The special name for a degree 2 polynomial is quadratic.
Let's look at the number of terms in 5x^2+3.
Terms are separated by addition and subtraction symbols so there are two terms.
There is a special name for a two-termed polynomial, it is binomial.
So this is the following information I collected on our given polynomial:
Degree is 2 so it is a quadratic.
The number of terms is 2 so it is a binomial.
It is a binomial quadratic.
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