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Multiplying Polynomials by using the Times Table Method

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The Distributive Property says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

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"Like terms" are terms whose variables are the same.

In other words, terms that are "like" each other.

Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.

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In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

Terms are separated by + or − signs, or sometimes by divide.

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A polynomial with two terms.

Example: 3x + 2

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A number used to multiply a variable.
Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.

Variables with no number have a coefficient of 1. Example: x is really 1x.

Sometimes a letter stands in for the number.
Example: In ax² + bx + c, "x" is a variable, and "a" and "b" are coefficients.