Question

· f(x) = + 4x2 – 3x + 10, g(x) = x + 4​

Answer 1

Answer:

86

Step-by-step explanation:

Answer 2

Answer:

$\large\tt\color{Brown}\underline{\underline{Question:}}$

$\bold{f(x)=+4x²-3x+10\:,\:g(x)=x+4}$

$\large\tt\color{red}\underline{\underline{Using:}}$

$\textsf{The factor theorem}$

$\large\tt\color{blue}\underline{\underline{Concept:}}$

$\textsf{▪︎Put g(x) = 0.}$

$\textsf{▪︎Find the remainder value or f(x) x value.}$

$\textsf{▪︎Then solve 4x²-3x+10 by taking x as the}$$\textsf{number which will come.}$

$\large\tt\color{green}\underline{\underline{Solution:}}$

$\bold\pink{Taken,g(x)=x+4=0}$

$\bold\Rightarrow{g(x)=x+4=0}$

$\bold\Rightarrow{x=0-4}$

$\bold\Rightarrow{x=-4}$

_____________________________

$\bold\pink{Taken,f(-4)=4x²-3x+10}$

$\bold\Rightarrow{f(-4)=4x²-3x+10}$

$\bold\Rightarrow{4(-4)²-3(-4)+10}$

$\bold\Rightarrow{4(16)+12+10}$

$\bold{(Used\:cross\:multiplication.)}$

$\bold\Rightarrow{64+12+10}$

$\bold\Rightarrow{76+10}$

$\therefore\boxed{\purple{86\:is\:the\:answer.}}$

HOPE IT HELPS YOU