Q. 34.0( 25 Votes )

If p(m) = m3 + 2m2 – m + 10 then p(a) + p(-a) =?

Answer :

Put x = a throughout the polynomial

(a)3 + 2 × (a)2 –a + 10


p (a) = a3 + 2a2 – a + 10


Put x = -a throughout the polynomial


(-a)3 + 2 × (-a)2 –(-a) + 10


p (-a) = -a3 + 2a2 + a + 10


p(a) + p(-a):


a3 + 2a2 – a + 10 + -a3 + 2a2 + a + 10


p(a) + p(-a) = 4a2 + 20


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