Question

Find the remainder when x^3+ 3x^2+ 3x+1 is divided by x - 1/2

pls explain with steps
i need to understand

Answer 1

STEP 1

DIVISOR = 0

x+1=0

x = -1

STEP 2

let p(x)= x^3+3x^2+ 3x+1

p(-1)=(-1)^3+3-1)^2+3(-1)+1

=-1+3-3+1

= remainder=p(-1)=0

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