Question

if p (x) =2x3 - x2 +3x+ 1 then find the value of p (-1)+p(2)
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Answer 1

Answer:

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Step-by-step explanation:

$p( - 1) = 2( - 1) {}^{3} - ( - 1) {}^{2} + 3( - 1) + 1 \\ p( - 1) = 2( - 1) - (1) + ( - 3) + 1 \\ p( - 1) = - 2 - 1 - 3 + 1 \\ p( - 1) = - 2 - 3 \\ p( - 1) = - 5$

$p( 2) = 2( 2) {}^{3} - ( 2) {}^{2} + 3(2) + 1 \\ p(2) = 2(8) - (4) + 6 + 1 \\ p(2) = 16 - 4 + 6 + 1 \\ p(2) = 19$

$now \: \: p( - 1) + p(2) \\ = (- 5) + (19) \\ = - 5 + 19 \\ = 14$

Answer 2

Step-by-step explanation:

p(-1)=2(-1) ^3-(-1)^2+3(-1)+1

= -2-1-3+1

= -6+1

= -5

p(2)= 2(2)^3-(2)^2+3(2)+1

=2×8-4+6+1

= 16-4+7

=12+7

=19

p(-1) +p(2) = -5+19

= 14