find the remainder when 2x^3+5x^2-6x+2 is divided by x+2 is ?
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Given : 2x^3+5x^2-6x+2 is divided by x+2
To Find : the remainder
Solution:
2x³+5x²-6x+2 is divided by x+2
remainder term if polynomial P(x) is divided by x - a
Then remainder is P(a)
x+2 = x - (-2)
P(x)= 2x³+5x²-6x+2
Remainder = P ( - 2)
= 2(-2)³+5(-2)²-6(-2)+2
= - 16 + 20 + 12 + 2
= 18
Remainder = 18
2x³+5x²-6x+2 is divided by x+2 remainder = 18
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