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Oh, dude, it's like super simple. So, basically, you classify polynomials based on their degree, which is the highest power of the variable in the polynomial. If the highest power is 1, it's a linear polynomial; if it's 2, it's quadratic; and if it's 3, it's cubic. Anything beyond that, like a fourth-degree polynomial or higher, we just call them "higher-degree polynomials." Easy peasy, lemon squeezy!
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Rafa
CoachThe degree of a polynomial is the highest degree of its terms.
The degree of a term is the sum of the exponents of the variables.
7x3y2 + 15xy6 + 23x2y2
The degree of the first term is 5.
The degree of the second term is 7.
The degree of the third term is 4.
The degree of the polynomial is 7.
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Polynomials have factors that are?
Other polynomials of the same, or lower, order.
Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3?
Yes. If and only if the coefficients of x4 are of the same magnitude and opposite sign.
What are polynomials that have factors called?
Reducible polynomials.
Trinomial are polynomials?
Yes.
Do all polynomials have exponents?
Yes.
