Question

Complete the table. If p(x)=x^2-x-6

Answer 1

Answer:

We find the zeroes by factorizing the equation x2−x−6=0 as follows:

x2−x−6=0⇒x2−3x+2x−6=0⇒x(x−3)+2(x−3)=0⇒(x+2)(x−3)=0⇒x+2=0,x−3=0

⇒x=−2,x=3.

Hence, the zeroes of the polynomial x2−x−6=0 are 3,−2.