ANSWER
[tex] \\ \\ [/tex]
[tex] \\ \large\bold{GIVEN: } \\ [/tex]
Find the roots of x²+10x+16=0
[tex] \\ \\ [/tex]
Find the factors of 16 that when added it will be equal to 10
[tex] \\ (x + 8)(x + 2) \\ [/tex]
Use F.O.I.L method to check the factors
[tex] \\ (x + 8)(x + 2) = 0\\ \\ {x}^{2} + 2x + 8x + 16 = 0 \\ \blue{{x}^{2} + 10x + 16 = 0} \\ \\ [/tex]
[tex] \\ \large \texttt{ROOTS: } \\ [/tex]
[tex] \\ x + 8 = 0 \\ \\ x + 2 = 0[/tex]
Transfer out the constants. Change its integer signs.
[tex] \\ \boxed{ \green{ \sf{x = - 8}}} \\ \\ \boxed{ \green{\sf{x = - 2}}} \\ \\ \\ [/tex]
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