Whittaker Best
12/20/2023 · Senior High School
Activity 9: Finding the Roots of Polynomial Equations Find all real roots of the following equations. Next, write each polynomial he left side of the equation in factored form. Show your complete solutions. 1. \( x^{3}-10 x^{2}+32 x-32=0 \) 2. \( x^{3}-6 x^{2}+11 x-6=0 \) 3. \( x^{3}-2 x^{2}+4 x-8=0 \) 4. \( 3 x^{3}-19 x^{2}+33 x-9=0 \) 5. \( x^{4}-5 x^{2}+4=0 \)
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1. \( x=2 \) and \( x=4 \).
2. \( x=1 \), \( x=2 \), and \( x=3 \).
3. \( x=2 \).
4. \( x=\frac{1}{3} \) and \( x=3 \).
5. \( x=-2 \), \( x=-1 \), \( x=1 \), and \( x=2 \).
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