x6+ 4x3 -1 এর একটি উৎপাদক-

x⁶+ 4x³ -1 এর একটি উৎপাদক-

A x²-x+1

B x²+x-1

C x³-1

D x²-x-1

Solution

Correct Answer: Option B

= (x²)³ + x³ + (-1)³ - 3x².x(-1)
= (x² + x - 1) {(x²)² + x² + (-1)² - x².x-x(-1)-(-1).x²}
= (x² + x - 1) (x⁴ + x² + 1 - x³ + x + x²)
= (x² + x - 1) (x⁴ - x³ + 2x² + x +1)

Solution

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