Question

Without using a calculator, determine the number of real zeros of the function

fox) = x2 + 4x + x - 6.

Answer 1

1, -6

Explanation:

Since there are alike numbers, add them together.

4x+x= 5x

Now the function is: f(x)=
`x^(2)`+5x-6

The function is in
`a^(2)`+bx+c form.

So find the factors of a x c = b.

Factors of -6(a) that fits (b)5 is (-1,6).

Then you just factor it:

f(x)=
`x^(2)`+5x-6

(x-1)(x+6)

x-1= 0 x+6=0

+1 +1 -6 -6

x=1 x=-6

Those are the real zeroes: 1, -6