Question

What is the remainder when 3x 3 − 2x 2 − x − 1 is divided by x − 2?

Answer 1

f(x) = 3x³ - 2x² - x + 1

f(-2)

= 3(-2)³ - 2(-2)² -(-2) + 1

= 3(-27) -2(9) + 2 + 1

= -81 - 18 + 3

= -67

The remainder is -67.

Answer 2

p(x) = 3x³ -2×2 -x -1

p(-2) = 3×(-2)³ -2×2 -(-2)-1

= 3×(-8) -2×2 +2-1

= -24 -4 +1

= -28 +1 = -27 //

Hope its helpful

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