Question

Find the remainder when 4 x cube minus 3 X square + 2 x minus 4 is divided by X + 2

Answer 1

Answer:

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Step-by-step explanation:

ANSWER ::

The zero of the polynomial x + 2 is given by

x + 2 = 0

= 0So x = (- 2 )

Let f(x) = 4x³- 3x² + 2x - 4

Now by the Remainder Theorem the required Remainder is

Now by the Remainder Theorem the required Remainder is f(-2) = 4×(- 2 )³- 3×(-2)² + 2× (-2) - 4

= - 32 - 12 - 4 - 4

= - 52