Factoring Polynomials

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Factoring Polynomials
By Miss Kaylaa
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What is Factoring Polynomials
Cleary Defined Example Factoring is to
express a polynomial as the product of monomials
and polynomials
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Example  2x2  4x
a(b  c)  ab  ac. Notice that each term has a
factor of 2x, so we can rewrite it
as 2x2  4x  2x(x  2)
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• Using it to find where parabolas hit the x-axis
• To solve equations
• Used in geometry to find the dimensions of a
  rectangle

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The area of a rectangle is (a² - 3a 18) square
inches. This area is increased by adding 5 inches
to both the length and the width. If the
dimensions of the original rectangle are
represented by binomials with integral
coefficients, How does Farmer Kaylaa find the
area of the new rectangle?
Original Rectangle Area (a² - 3a 18)in²
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a² - 3a 18 a² - (-6) 3a - 18
a² - 6a 3a 18 (a² - 6a) (3a 18) a(a
6) 3 (a 6) (a 3) (a 6)