Answer:
see explanation
Explanation:
If (2x + 1) is a factor then x = - is a root and P(- ) = 0 ← Factor theorem
P(- )
= 2(- )³ - 11(- )² - 4(- ) + 1
= - - + 2 + 1
= - + 3
= - 3 + 3
= 0
Since P(- ) = 0 then g(x) is a factor of P(x)
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