Q67 of 100 Page 312

Find the values of following polynomials at m = 1, n = –1 and p = 2:

(a) m + n + p


(b) m2 + n2 + p2


(c) m3 + n3 + p3


(d) mn + np + pm


(e) m3 + n3 + p3 – 3mnp


(f) m2n2 + n2p2 + p2m2

(a) 1-1+2


= 2


(b) 12 + (-1)2 + 22


= 6


(c) (1)3 + (-1)3 + 23


= 8


(d) (1)(-1) + (-1)(2) + (2)(1)


= -1


(e) 13 + (-1)3 + 23 – 3(1)(-1)(2)


= 14


(f) (1)2(-1)2 + (-1)2(2)2 + (2)2(1)2


= 9


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