Answer:
The answer to your question is 2(x - 9/2)(x - 3/5)
Step-by-step explanation:
Polynomial 20x² - 102x + 54
Process
1.- Find the Greatest Common Factor
20 102 54 2
10 51 27 2
5 51 27 3
5 17 9 3
5 17 3 3
5 17 1 5
1 17 17
1
GCF = 2
2.- Factor 2
2(10x² - 51x + 27)
3.- Factor 10x² - 51x + 27
Use the general formula to solve this equation
x = [tex]\frac{-b +- \sqrt{b^{2} - 4ac}}{2a}[/tex]
a = 10 b = -51 c = 27
x = [tex]\frac{51 +- \sqrt{51^{2} -4(10)(27)}}{2(10)}[/tex]
-Simplification
x = [tex]\frac{51 +- 39}{20}[/tex]
-Result
x₁ = 9/2 x₂ = 3/5
(x - 9/2) (x - 3/5)
4.- Answer
2(x - 9/2)(x - 3/5)
