Answer:
x=±1. are the factors of the quadratic equation.
Step-by-step explanation:
Given quadratic expression, f(x)=-12x - 2x + 60x² +14x-60
Rearranging and adding the terms in the expression and equating to zero.
f(x)= 60x² -60=0
60(x² - 1) =0
The zero product property states that if the product of a⋅b=0 then either a or b equal zero or both of them must be equal to zero. This basic property helps us solve the quadratic equations like (x+2)(x-5)=0 where x =-2,5.
from the zero product property we can infer that 60≠0⇒x² - 1=0
⇒(x+1)×(x-1) = 0
⇒x=±1.
Therefore, x=±1. are the factors of the quadratic equation.
