x3 -7x -6-এর উৎপাদক কত?
সমাধান
সঠিক উত্তর: Option C
দেওয়া আছে,
f(x) = x3 - 7x - 6
∴ f(- 1) = (- 1)3 - 7(- 1)- 6
= - 1 + 7 - 6
= 0
∴ x + 1, f(x) এর একটি উৎপাদক।
f(x) = x3 - 7x - 6
= x3 + x2- x2- x - 6x - 6
= x2(x + 1) - x(x + 1)- 6(x + 1)
= (x + 1)(x2 - x - 6)
= (x + 1)(x2 - 3x + 2x - 6)
= (x + 1)(x + 2)(x - 3)
f(x) = x3 - 7x - 6
∴ f(- 1) = (- 1)3 - 7(- 1)- 6
= - 1 + 7 - 6
= 0
∴ x + 1, f(x) এর একটি উৎপাদক।
f(x) = x3 - 7x - 6
= x3 + x2- x2- x - 6x - 6
= x2(x + 1) - x(x + 1)- 6(x + 1)
= (x + 1)(x2 - x - 6)
= (x + 1)(x2 - 3x + 2x - 6)
= (x + 1)(x + 2)(x - 3)
