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What type of polynomial is 3x+x to the second power +4

quartic

cubic

linear

quadratic

1 Answer

6 votes

The answer is quadratic.


A quadratic equation takes this form:


ax^2+ bx + c


The "a,""b,"and "c" represent numerical coefficients.


This is how your equation looks:


3x + x^2 + 4


Now it is standard that we organize the polynomial in descending order so it will look like this:


x^ 2 + 3x + 4


(commutative property of addition says that the arrangement will not affect the result)


It matches the quadratic polynomial form.


* You might be thinking, x to the second power has no number next to it though, well actually it does. The numerical coefficient of x to the power of two in this case is actually 1. It's just that in math, it is not necessary to put the one anymore. It is already assumed.

User Tstempko
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