Answer:
Option (5)
Step-by-step explanation:
f(x) is a function with the degree of 3, having zeros as x = 2, 2t, -2t
And f(1) = -15
Option (1)
f(x) = 2x³- 2x² + 2x - 30
f(1) = 2(1)³ - 2(1)² + 2(1) - 30
= 2 - 2 + 2 - 30
= -28 ≠ -15
Therefore, Option (1) is not the answer.
Option (2)
f(x) = 2x³ + 2x² + 2x - 30
f(1) = 2(1)³ + 2(1)² + 2(1) - 30
= 2 + 2 + 2 - 30
= 6 - 30
= -24 ≠ -15
Therefore, Option (2) is not the answer.
Option (3)
f(x) = 3x³ - 6x² + 12x - 12
f(1) = 3(1)³ - 6(1)² + 12(1) - 12
= 3 - 6
= -3 ≠ -15
Therefore, Option (3) is not the answer.
Option(4)
f(x) = 48x³- 9x² + 12x - 24
f(1) = 48(1)³ - 9(1)² + 12(1) - 24
= 48 - 9 + 12 - 24
= 27 ≠ -15
Therefore, Option (4) is not the answer.
Option (5)
f(x) = 3x³- 6x² + 12x - 24
f(1) = 3(1)³- 6(1)² + 12(1) - 24
= 3 - 6 + 12 - 24
= -15
Therefore, Option (5) is the correct option.
