Find the zeros of the quadratic polynomial x2−8x+12.
2 and 6
To find the zeroes, equate the polynomial to zero and then factorise.
∴x2−8x+12=0
⇒x2−6x−2x+12=0
⇒x(x−6)−2(x−6)=0
⇒(x−6)(x−2)=0
⇒x−6=0 or x−2=0⇒x=6; 2
2 and 6 are the zeros of the quadratic polynomial.