Question

Find the cubic polynomial whose leading coefficient is 5 & zeroes are -1, 1, 2

Answer 1

Answer:

x³-2x²-x+2 = 0

Step-by-step explanation:

Cubic polynomial :

⇒ (x+1)(x-1)(x-2) = 0

⇒ (x²-1)(x-2) = 0

⇒x³-2x²-x+2 = 0

Check

x = 1  value = 1-2-1+2 =0

x= -1 value = -1 -2 +1+2 = 0

x=2 value = 8-8-2+2 =0