Question

Which number is a zero of the function f?f(x) = x2 - x - 6F 6G2H 3IO

Answer 1

Let's begin by listing out the information given to us:

`f\mleft(x\mright)=x^2-x-6`

The zero function refers to the real number that makes the value of the function equal to zero

`\begin{gathered} x^2-x-6=0 \\ We\text{ factori}se,\text{ we have:} \\ x^2-6x+x-6=0 \\ x(x-6)+1(x-6)=0 \\ (x-6)(x+1)=0 \\ x-6=0,x+1=0 \\ x=6.x=-1 \\ \therefore x_1=6,x_2=-1 \end{gathered}`

When the value of x equals 6 or -1, we get the zero of the function