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Answer:
Step-by-step explanation:
[tex]2x^{2} - \frac{5}{6}x + \frac{1}{12}[/tex]
Multiply the whole expression by 12
[tex]= 12*2x^{2} - 12*\frac{5}{6}x + 12*\frac{1}{12}\\\\= 24x^{2}-2*5x + 1\\\\=24x^{2}-10x + 1[/tex]
Sum = - 10
Product = 24
Factors = -6 , -4 {(-6)+(-4) = -10 & (-6)*(-4) = 24}
24x² - 10x + 1 = 24x² -6x - 4x + 1 {Rewrite the middle term using the factors}
= (24x² - 6x) - 4x + 1
= 6x (4x - 1) - (4x - 1)
= (4x - 1)(6x - 1)