Question

A polynomial p(x) is such that p(1) = p(-2) = p(3) = 0. Which of the following can be p(x)?
(Note: read all the options carefully)
(A) P(x) = (x - 1)(x + 2)
(C) P(x) = (x + 1)(x - 2)
(E) Both options (A) and (B)
(B) p(x) = (x - 1)(x + 2)(x-3)
(D) p(x) = (x + 1)(x-2)(x + 3)

plz me!!!!!​

Answer 1

Step-by-step explanation:

p(1)=p(-2) = p(3) = 0.

p(1)= 0 so x= 1=> x-1= 0=> (x-1) is a factor

p(-2)= 0 so x= -2=>x+2= 0=> (x+21) is a factor

p(3)= 0 so x=3=>x-3= 0=> (x-3) is a factor

so p(x) = (x-1) (x+2)(x-3)

(B) p(x) = (x - 1)(x + 2)(x-3)