please help me with this following question

Answer:
yes
Step-by-step explanation:
f(x) = 2x³ - [tex]\frac{3}{2}[/tex] x² - 4x + 6
g(x) = [tex]\frac{1}{2}[/tex] ( 4x³ - 3x² - 8x + 12) ← multiply each term in the parenthesis by [tex]\frac{1}{2}[/tex]
= 2x³ - [tex]\frac{3}{2}[/tex] x² - 4x + 6
= f(x)
Then f(x) and g(x) are equal polynomials