Question

Please help me out!!!!!

Answer 1

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.