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Is the product of two binomials always be a trinomial? - Answers

No, the product of two binomials is not always a trinomial; it is typically a trinomial when both binomials are of the form (ax + b)(cx + d) where at least one of the coefficients is non-zero. However, if either binomial includes a term that results in a cancellation or if both binomials are constants, the result could be a polynomial of a lower degree or a constant. For example, multiplying (x + 2)(x - 2) results in a difference of squares, yielding a binomial (x² - 4), not a trinomial.



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Is the product of two binomials always be a trinomial? - Answers

https://math.answers.com/math-and-arithmetic/Is_the_product_of_two_binomials_always_be_a_trinomial

No, the product of two binomials is not always a trinomial; it is typically a trinomial when both binomials are of the form (ax + b)(cx + d) where at least one of the coefficients is non-zero. However, if either binomial includes a term that results in a cancellation or if both binomials are constants, the result could be a polynomial of a lower degree or a constant. For example, multiplying (x + 2)(x - 2) results in a difference of squares, yielding a binomial (x² - 4), not a trinomial.



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https://math.answers.com/math-and-arithmetic/Is_the_product_of_two_binomials_always_be_a_trinomial

Is the product of two binomials always be a trinomial? - Answers

No, the product of two binomials is not always a trinomial; it is typically a trinomial when both binomials are of the form (ax + b)(cx + d) where at least one of the coefficients is non-zero. However, if either binomial includes a term that results in a cancellation or if both binomials are constants, the result could be a polynomial of a lower degree or a constant. For example, multiplying (x + 2)(x - 2) results in a difference of squares, yielding a binomial (x² - 4), not a trinomial.

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      No, the product of two binomials is not always a trinomial; it is typically a trinomial when both binomials are of the form (ax + b)(cx + d) where at least one of the coefficients is non-zero. However, if either binomial includes a term that results in a cancellation or if both binomials are constants, the result could be a polynomial of a lower degree or a constant. For example, multiplying (x + 2)(x - 2) results in a difference of squares, yielding a binomial (x² - 4), not a trinomial.

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