Question

(a) Find P(1) if P(x)=x^2+2x+5.
(b) If (x - 1) is a factor of x^2+2x+k What number is​

Answer 1

Answer:

a) given p(x) = x²+2x+5

p(1) = (1)²+2(1)+5 = 1 +2+5 = 3+5 = 8

b) p(x) = x²+2x+k

given, x-1 is a factor of p(x)

so p(x) = 0 when taken, x-1 = 0 —> x = 1

substitute in p(x)

(1)²+2(1)+k = 0

1+2+k = 0

3+k = 0

k = -3

hope it helps.....