Question

Question #60683

Answer 1

(note: `y` is equivalent to `p(x)` for this question)
y-intercept `=6`
x-intercepts `=-2 and -3`

Explanation:

The y-intercept is the value of y (or as in the question `p(x)` where the graph of the equation crosses the y-axis. This is the point on the graph where `x=0` (since `x=0` for all points on the y-axis).
`color(white)("XXXX")` `y = (0)^2 + 5(0) + 6 = 6`

The x-intercepts similarly are the values of `x` when `y` (or `p(x)`) `=0`
`color(white)("XXXX")` `0 = x^2+5x+6`

`color(white)("XXXX")` `(x+2)(x+3) = 0`

`color(white)("XXXX")` `rArr x=-2`
`color(white)("XXXX")`or `x=-3`