Question

What are the zeros of the function f(x) = x² - 3x - 10?

Answer 1

Solve the equation `color(red)(ul(bar(|x^2-3x-10=0|` to get the zeros.

`x^2-3x-10=0`

`=>x^2-5x+2x-10=0`

`=>x(x-5)+2(x-5)=0`

`=>(x+2)(x-5)=0`

Hence, the solution set is `color(red)({-2,5}`

The zeros of the function is `{-2,5}`

Hope it helps...
Thank you...

:-)

Answer 2

`x=-2" or "x=5`

Explanation:

`"to obtain the zeros let "f(x)=0`

`rArrx^2-3x-10=0larrcolor(blue)"in standard form"`

`"the factors of - 10 which sum to - 3 are - 5 and + 2"`

`rArr(x-5)(x+2)=0`

`"equate each of the factors to zero and solve for x"`

`x+2=0rArrx=-2`

`x-5=0rArrx=5`
graph{(y-x^2+3x+10)((x+2)^2+(y-0)^2-0.04)((x-5)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}