Question

p(x)=x^3+3x^2 - 2x find p(2) -p (-1) + p(1/2)

Answer 1

Answer :

Given,

p(x) = x³ + 3x² - 2x

So,

p(2) = 2³ + 3 (2²) - 2 (2)

= 8 + 12 - 4

= 16

p(-1) = (- 1)³ + 3 (- 1)² - 2 (- 1)

= - 1 + 3 + 2

= 4

p(1/2)

= (1/2)³ + 3 (1/2)² - 2 (1/2)

= 1/8 + 3/4 - 1

= - 1/8

Therefore, p(2) - p(- 1) + p(1/2)

= 16 - 4 - 1/8

= 95/8

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Answer 2

Heya !!!

P(X) = X³+3X² - 2X

P(2) = (2)³ + 3 × (2)² - 2 × 2

=> 8 + 12 - 4

=> 16

P(-1) = (-1)³ + 3 × (-1)² - 2 × -1

=> -1 + 3 + 2

=> 4

And,

P(1/2) = (1/2)³ + 3 × (1/2)² - 2 × 1/2

=> 1/8 + 3 × 1/4 - 1

=> 1/8 + 3/4 - 1

=> 1 + 6 - 8/8

=> -1/8

Therefore,

P(2) - P(-1) + P(1/2)

=> 16 - 4 + (-1/8)



=> 16 - 4 - 1/8

=> 128 - 32- 1/8

=> 128 - 33/8

=> 95/8

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