The remainder when 2xcube+3xsquare+4x+5 is divided by (x-2)
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Answer:
Remainder = 41
Step-by-step explanation:
P(x) = 2x³ + 3x² + 4x + 5
Divisor = x - 2
⇒ x - 2 = 0
⇒ x = 2
Using remainder theorem
⇒ P(x) = 2(2)³ + 3(2)² + 4(2) + 5
= 2(8) + 3(4) + 8 + 5
= 16 + 12 + 8 + 5
= 41
∴ Remainder = 41
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