Get comprehensive solutions to your questions with the help of IDNLearn.com's experts. Discover reliable and timely information on any topic from our network of knowledgeable professionals.
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)