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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The sum of p and q
The sum of -p and -q -
That trinomial is unfactorable (the roots are not integers).
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
7i8