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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.
When you square a binomial, you obtain a trinomial. The product is calculated using the formula ((a + b)^2 = a^2 + 2ab + b^2), where (a) and (b) are the terms of the binomial. This results in the first term squared, twice the product of the two terms, and the second term squared. The process is the same for a binomial in the form ((a - b)^2), yielding (a^2 - 2ab + b^2).
A perfect square trinomial results from squaring a binomial. Specifically, when a binomial of the form ( (a + b) ) or ( (a - b) ) is squared, it expands to ( a^2 + 2ab + b^2 ) or ( a^2 - 2ab + b^2 ), respectively. Both forms yield a trinomial where the first and last terms are perfect squares, and the middle term is twice the product of the binomial’s terms.
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 consists of exactly two terms. These terms are typically connected by a plus or minus sign. For example, in the expression (a + b) or (3x - 4), each represents a binomial with two distinct terms.
Not in rational terms.