Q: Is the square of a binomial ever a binomial?

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It can be factored as the SQUARE OF A BINOMIAL

It is not possible for a perfect square to have just 2 terms.

Yes, the chi-square test can be used to test how well a binomial fits, provided the observations are independent of one another and all from the same (or identical) binomial distribution.

square of binomial

No, it is not.

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A quartic.

It can be factored as the SQUARE OF A BINOMIAL

To calculate the cube of a binomial, you can multiply the binomial with itself first (to get the square), then multiply the square with the original binomial (to get the cube). Since cubing a binomial is quite common, you can also use the formula: (a+b)3 = a3 + 3a2b + 3ab2 + b3 ... replacing "a" and "b" by the parts of your binomial, and doing the calculations (raising to the third power, for example).

It is not possible for a perfect square to have just 2 terms.

Yes, the chi-square test can be used to test how well a binomial fits, provided the observations are independent of one another and all from the same (or identical) binomial distribution.

square of binomial

No, it is not.

> square the 1st term >twice the product of the first and last term >square the last term

It means the same as the square of a number, namely, that the binomial is multiplied with itself.

The binomial usually has an x2 term and an x term, so we complete the square by adding a constant term. If the coefficient of x2 is not 1, we divide the binomial by that coefficient first (we can multiply the trinomial by it later). Then we divide the coefficient of x by 2 and square that. That is the constant that we need to add to get the perfect square trinomial. Then just multiply that trinomial by the original coefficient of x2.

A quartic is produced when you multiply a binomial squared. It is defined as involving the fourth and no higher power of an unknown quantity or variable.

(a^2 - b^2) = (a - b)(a + b)