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You represent a generic trinomial with some letters, then just carry out the desired operations. The general rule to multiply polynomials is that each term in one polynomial must be multiplied by each term in the other polynomial. For example, to multiply a trinomial by itself - i.e., square it - you get:

(a + b + c) (a + b + c)

= a2 + ab + ac + ab + b2 + bc + ac + bc + c2

Next, you can group similar terms; well, I'll leave that to you.

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Q: How can you get the special product of a trinomial?

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The sum of p and q

The sum of -p and -q -

That trinomial is unfactorable (the roots are not integers).

7i8

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

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It is the constant term of the trinomial.

constant.

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The sum of p and q

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The answer depends on what p and q are!

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Every product is special if you get it right.

The rarity of it makes a product special.

A trinomial is the sum of three monomials, any more than that does not have a special name

A trinomial is an expression that consist of three terms (first term, middle term, and last term). The middle term is the sum of the product of outer terms and inner terms of the binomial.

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