Question

Find remainder when 4x³ -3x² +4x-2 is divided by x+2

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Answer 1

Answer:

-54

Step-by-step explanation:

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Answer 2

$\huge{\boxed{\red{\boxed{\underline{\green{\textsf{Given:-}}}}}}}$

$\boxed{\red{\mathrm{• \: \: p_x = 4x^3 - 3x^2 + 4x - 2}}}$

$\boxed{\red{\mathrm{• \: \: g_x = x + 2}}}$

$\huge{\boxed{\red{\boxed{\underline{\green{\textsf{Solution:-}}}}}}}$

$\longrightarrow \green{\textsf{Let g_x = 0}}$

$\therefore \rm \blue{x + 2 = 0}$

$\rm \boxed{\blue{x = -2}}$

$\green{\textsf{ \longrightarrow Putting this value of x in p_x , we get,}}$

$\rm \blue{\therefore p_{(-2)} = 4(-2)^3 - 3(-2)^2 + 4(-2) - 2}$

$\implies \rm \blue{4 \times (-8) - 3 \times (4) - 8 - 2}$

$\implies \rm \blue{-32 - 12 - 10}$

$\implies \rm \blue{-32 - 22}$

$\implies \rm \bf \boxed{\blue{ -54 }}$

$\longrightarrow \green{\textsf{Hence, the remainder left, when}}$ $\green{\textsf{ p_x is divided by g_x , is -54}}$