Question

What are the x-intercepts of the quadratic function? f(x)=x^2−3x−10

Answer 1

your product is -10, sum is -3 and factors are -5 and 2. when factorised your x intercepts will be 5 and -2

Answer 2

`f(x)=x^2-3x-10\\\\ f(x)=x^2+2x-5x-10\\\\ f(x)=x(x+2)-5(x+2)\\\\ f(x)=(x+2)(x-5)`
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`(x+2)(x-5)=0\\\\ x+2=0 \ \vee \ x-5 = 0\\\\ x=-2 \ \vee \ x = 5`