The cubic polynomial is given as y = 0.25(x³ - 12x + 16). Then the value of y when x = 6 will be 40. Then the correct option is C.
What is polynomial?
A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
If the zeroes of the polynomial are negative 4, 2, and 2.
Then the factors will be (x + 4), (x - 2), and (x - 2).
Then the cubic polynomial will be
→ (x + 4) (x - 2) (x - 2)
→ (x + 4) (x² - 4x + 4)
→ (x³ - 12x + 16)
Then the polynomial equation will be
y = C(x³ - 12x + 16)
Then the polynomial is maximum at (-2, 8) then the value of C will be 0.25.
y = 0.25 (x³ - 12x + 16)
Then the value of y at x = 6, will be
y = 0.25 (6³ - 12 × 6 + 16)
y = 0.25 (216 - 72 + 16)
y = 0.25 (160)
y = 40
More about the polynomial link is given below.
https://brainly.com/question/17822016
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