Q: Is it possible to have two terms in the product when a binomial is squared?

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A polynomial discriminant is defined in terms of the difference in the roots of the polynomial equation. Since a binomial has only one root, there is nothing to take its difference from and so in such a situation, the discriminant is a meaningless concept.

You multiply each element of the binomial into each element of the trinomial and then combine like terms. For example, (ax + b)*(cx2 + dx + e) = acx3 + adx2 + aex + bcx2 + bdx + be = acx3 + (ad + bc)x2 + (ae + bd)x + be

no it is a binomial. terms in an algebriac expression are separated by addition or subtraction ( + or -) symbols and must not be like terms. then just count the terms. one term = monomial, 2 terms = binomial, 3 terms = trinomial. More than 3 terms are usually just referred to as polynomials.

Use the "F-O-I-L" Method when multiplying two binomials. F-O-I-L stands for First, Outer, Inner, Last. Multiply the first terms together, then the outer terms, the inner terms, and the last terms.

I will assume you mean 7x + 5. In general, a binomial (two terms) can ONLY be factored if both terms have a common factor, OR you have a difference of squares. No other cases are possible, since the product of two binomials is, in general, a trinomial (three terms). Since none of these special cases apply, the expression can't be factored.

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No, it is not.

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

binomial

A binomial is a polynomial with two terms.

No, it isn't. You can express 3x3-2x2 as 3x3-2x2+0x+0, so it actually has four terms. The definition of a binomial is an expression in the form Ax+b, where A and b are constants, so 3x3-2x2 is not a binomial. It is actually a quartomial.

binomial

A binomial is a mathematical term for a polynomial with two terms.

A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.

Not in rational terms.

Yes, it is when a polynomial has two terms with a degree of 3. ex: 4x^3+7

The only difference is that a binomial has two terms and a polynomial has three or more terms.