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PLEASE HELP!!!! What is factoring in mathematics? Please explain! I've been absent for 3 days and they are ready to move onto the test! :'(Example: 9x^2 - 12x + 4 or 81m^2 - 1

Sagot :

You have the following expression:

9x² - 12x + 4

In order to factorize the previous expression, use the quadratic formula, given by:

[tex]x=\frac{-b\pm\sqrt[]{b^{2}-4ac}}{2a}[/tex]

where a, b and c are the coefficients of the polynomial.

In this case, you have:

a = 9

b = -12

c = 4

replace the previous values of the parameters into the quadratic formula:

[tex]\begin{gathered} x=\frac{-(-12)\pm\sqrt[]{(-12)^{2}-4(9)(4)}}{2(9)} \\ x=\frac{12\pm\sqrt[]{144-144}}{18} \\ x=\frac{12}{18}=\frac{2}{3} \end{gathered}[/tex]

Hence, the factor of the given polynomial is:

(x - 2/3)(x-2/3)

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