And you could just view that as it's being added to negative 8x.
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So negative 8x is the second term. And then the third term here is 7. It's called a polynomial. Poly, it has many terms.
Polynomials | Victor V. Prasolov | Springer
Or you could view each term as a monomial, as a polynomial with only one term in it. So those are the terms. Now let's think about the coefficients of each of the terms. The coefficient is what's multiplying the power of x or what's multiplying in the x part of the term. So over here, the x part is x squared. That's being multiplied by 3.
So 3 is the coefficient on the first term.
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On the second term, we have negative 8 multiplying x. And we want to be clear, the coefficient isn't just 8.
It's a negative 8. It's negative 8 that's multiplying x. So that's the coefficient right over here.
And here you might say, hey wait, nothing is multiplying x here. I just have a 7. There is no x. But you can think of this as 7 being multiplied by x to the 0 because we know that x to the zeroth power is equal to 1. So we would even call this constant, the 7, this would be the coefficient on 7x to the 0. So you could view this as a coefficient.
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Edited by Alexander Kokorin. Edited by Theophanides Theophile. Edited by Kresimir Delac. Edited by Sergey Mikhailov.