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Math
A |
Multiplication
Involving Trinomials |
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 Multiplying a Binomial and a Trinomial
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Simply
multiply each term from the binomial times each term of the
trinomial. You can do this by using either a horizontal
method or a vertical method.
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Horizontal Method:
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(x + 3)(x² + 2x + 4) |
= x³ + 2x² + 4x + 3x² + 6x + 12 |
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= x³ + 2x² + 3x² + 4x + 6x + 12 |
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= x³ + 5x² + 10x + 12
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Vertical Method:
x² + 2x + 4 |
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x + 3 |
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x³ + 2x² + 4x |
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3x² + 6x + 12 |
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x³ + 5x² + 10x + 12
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Cubing a Binomial
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(x + 3)³ |
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If you take your time, it is really
very simple.
All you need to do is multiply twice.
Multiply (x + 3) times (x + 3), and then
multiply that answer by
(x + 3). Simple!
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(x + 3)³ |
= (x + 3)(x + 3)(x + 3) |
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= (x² + 3x + 3x + 9)(x + 3)
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= (x² + 6x + 9)(x + 3) |
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= x³ + 6x² + 9x + 3x² + 18x + 27 |
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= x³ + 9x² + 27x + 27
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