Plz solve this ...fenz. .
1 answer:
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Answer:
f(x) = - 2x³ - 11x² + 12x + 36
Step-by-step explanation:
given that x = a and x = b are the roots of a polynomial then
(x - a) and (x - b) are it's factors and the polynomial is the product of the factors
here x = -2 ( repeated ) and x = 3 (repeated), hence the factors are
(x + 2)² and (x - 3)² → the square denotes a repeated root
f(x) = (x + 2)²(x - 3)² ← expand factors and simplify
= (x² + 4x + 4)(x² - 6x +9)
= - 2x³ - 11x² + 12x + 36 ← is a possible equation