by remainder theorem find the remainder when 3x4-4x3-3x-1 is diveded by x+2
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Step-by-step explanation:
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The reminder is 85
Step-by-step explanation:
Given polynomial P(x) = 3x⁴ - 4x³ - 3x - 1
and p(x) is divided by x + 2
⇒ to find the reminder by reminder theorem we need to equate x+2 to zero
⇒ x + 2 = 0
⇒ x = -2
⇒ now find P(-2) [ substitute x = -2 in P(x) ]
⇒ P(-2) = 3(-2)⁴ - 4(-2)³ - 3(-2) -1
= 3(16) - 4(-8) + 6 - 1
= 48 - (-32) + 5
= 48 + 32 + 5 = 85
⇒ The reminder is 85
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