English, asked by asliharyanavigirl, 4 months ago

please solve 11 number and please help me... ​

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Answered by LaeeqAhmed
1

\color{red}\huge{\underline{\underline{GIVEN\dag}}}

  • (x+a) is a factor of  3x^{2}+6ax+5x−8

\color{red}\huge{\underline{\underline{SOLUTION\dag}}}

\large\bf \: Since \: its \: a \: factor,

x + a = 0

x+a=0

\therefore x = - a

\bf Substituting \: in \:equation

\implies 3{( - a)}^{2} + 6a( - a) + 5( - a) - 8 = 0

\implies 3{ a}^{2} - 6 {a}^{2} - 5 a - 8 = 0

\implies -3{ a}^{2} -5 a -8 = 0

\implies a(3a+8)-1(3a+8)=

\implies (a-1)(3a+8)=0

\boxed{\orange{\therefore a=1}}

\bf (or)

\implies 3a+8=0

\implies 3a=-8

\boxed{\orange{\therefore a=\frac{-8}{3}}}

HOPE THAT HELPS!!

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