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Polynomial Multiplication

When you explore multiplication of polynomials consisting of trinomial expressions, the process does not vary from those of other types of polynomial multiplications, but they do become more involved. Here is a multiplication problem involving a binomial and a trinomial. You must multiply each term of the first expression by each term of the second expression.

 (x2 + 3x − 4)(2x2 + 3) Trinomial and binomial. x2(2x2 + 3)+ 3x(2x2 + 3) − 4(2x2 + 3) Distribution. x2(2x2) + x2(3) + 3x (2x2) + 3x (3) − 4(2x2) − 4(3) Multiplying. 2x4 + 3x2 + 6x3 + 9x − 8x2 − 12 Collect terms. 2x4 + 6x3 + 3x2 − 8x2 + 9x − 12 Group like terms. 2x4 + 6x3 − 5x2 + 9x + 8x − 12 Simplify.

When you deal with polynomials that consist of several terms, you can use ...

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