Question

Please help me with this problem so my son can understand better. Let f(x)=x^2−13x+30. What are the zeros of the function?Enter your answers in the boxes. and

Answer 1

Given:

$f(x)=x^2-13x+30$

Set f(x)=0 to find the zeros of the function and substitute f(x)=0 in the given equation.

$x^2-13x+30=0$$\text{ We know that }-13x=-10x-3x\text{.}$

$x^2-10x-3x+30=0$

Taking out the common multiples.

$x(x-10)-3(x-10)=0$

$(x-10)(x-3)=0$

$(x-10)=0,(x-3)=0$

$x=10,x=3$

Hence the zeros of the given function are 3 and 10.