The polynomial 7x3 + 6x2 - 2 has a degree of 3, making it cubic.
Chat with our AI personalities
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
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!
Yes. If the coefficient of the third degree terms in one polynomial are the additive inverses (minus numbers) of the coefficient of the corresponding terms in the second polynomial. Eg: 3x3 + 2x2 + 5 and -3x3 + x - 7 add to give 2x2 + x - 2
When you add polynomials, you simply add the coefficients of the variable taken to the same degree. For example (x3 + 2x2 + 3x + 4) added to (2x3 - 4x2 + x -2) would give you [(1+2)x3 + (2-4)x2 + (3+1)x + (4-2)] or 3x3 - 2x2 + 4x + 2 You would get a fourth degree polynomial by multiplying this one by x. Another way to think of it: If you add 1 apple and 3 apples (like one times x2 and 3 times x2) you still get apples, not watermelons.
A polynomial has 2 or more variables. It can also have a negative exponent and a fractional exponent. It's different from a monomial.****BrandonW****