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 Dependent Variable

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# Factoring Polynomials

## Definition of Factoring a Polynomial

To factor means to write a quantity or an expression as a product.

To factor a whole number, such as 12, we write it as a product of whole numbers. For example:

12 = 2 Â· 6

12 = 2 Â· 2 Â· 3

To factor a polynomial, such as x2 + 5x, means to write it as a product of polynomials: x2 + 5x = x(x + 5).

We say x(x + 5) is the factorization of x2 + 5x.

 Multiply Factor 3 Â· 5 2 Â· 3 Â· 3 5x(6x + 7) (w + 6)(w - 5) = 15= 18 = 30x2 + 35x = w2 + w - 30 15 18 30x2 + 35x w2 + w - 30 = 3 Â· 5 = 2 Â· 3 Â· 3 = 5x(6x + 7) = (w + 6)(w - 5)