Factorised form of p2 – 17p – 38 is
(a) (p – 19) (p + 2)
(b) (p – 19) (p – 2)
(c) (p + 19) (p + 2)
(d) (p + 19) (p – 2)
Factorise the given expression
p2-17p-38
use middle term splitting
=p2+2p-19p-38=pp+2-19p+2=p-19(p+2)
Hence option(A) is correct
Check whether the value given in the brackets is a solution to the given equation or not:
(a) n + 5 = 19 (n = 1) (b) 7n + 5 = 19 (n = − 2)
(c) 7n + 5 = 19 (n = 2) (d) 4p − 3 = 13 (p = 1)
(e) 4p − 3 = 13 (p = − 4) (f) 4p − 3 = 13 (p = 0)
If p(x) = 2x3 + ax2 − 7x + b and we want p(1) = 3 and p(2) = 19 what should be a and b?