Question

ao find the
quotent when p(X)= x³+3x²+3x+5
is
divided by d(x) = x+2 also find Remainder​

Answer 1

Answer:

reminder 4 and quotient x²+x+1

Answer 2

____________________

$\mathbb\red{\underline{BY\:REMAINDER\:THEOREM}}$

• x + 2

x = -2

° p ( x ) = x^3 + 3x^2 + 3x + 5

p ( -2 ) = ( -2 )^3 + 3 × ( -2 )^2 + 3 × ( -2 ) + 5

= ( -8 ) + 3 × 4 + ( -6 ) + 5

= ( -8 ) + 12 - 6 + 5

= ( -8 ) + 12 - 1

= 3

Remainder = 3

$\mathbb\blue{\underline{BY\:LONG\:DIVISION\:METHOD}}$

x + 2 ) x^3 + 3x^2 + 3x + 5 ( x^2 + x + 1

- x^3 + 2x^2

___________

x^2 + 3x

- x^2 + 2x

__________

x + 5

- x + 2

_______

3 ⬅️ Remainder

_______