Question

How do you find all zeros for `(x + 1)(x - 4)(x^2 - 7)`?

Answer 1

`x=-1,x=4,x=+-sqrt7`

Explanation:

`"to find the zeros equate the product of factors to zero"`

`rArr(x+1)(x-4)(x^2-7)=0`

`"equate each factor to zero and solve for x"`

`x+1=0rArrx=-1`

`x-4=0rArrx=4`

`x^2-7=0rArrx^2=7rArrx=+-sqrt7`