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iren2701 [21]
3 years ago
7

P(x) =2x3 -11x2 -4x +1 g(x) =2x +1

Mathematics
1 answer:
icang [17]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

If (2x + 1) is a factor then x = - \frac{1}{2} is a root and P(- \frac{1}{2} ) = 0 ← Factor theorem

P(- \frac{1}{2} )

= 2(- \frac{1}{2} )³ - 11(- \frac{1}{2} )² - 4(- \frac{1}{2} ) + 1

= - \frac{1}{4} - \frac{11}{4} + 2 + 1

= - \frac{12}{4} + 3

= - 3 + 3

= 0

Since P(- \frac{1}{2} ) = 0 then g(x) is a factor of P(x)

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