Question

A

What is the factored form of the equation?
y = x2 – x-6
L
Previous Answer
(-2,0) and (3,0)
25

Answer 1

`y=(x+2)(x-3)`

Explanation:

Given:
`y=x^2-x-6`

To find: a factored form of the given equation

Solution:

The equation
`y=ax^2+bx+c` can be written in factored form as
`y=a(x-r_1)(x-r_2)`.

To find the x-intercepts, put
`y=0`.

Graph of the equation
`y=a(x-r_1)(x-r_2)` represents a parabola.

`y=x^2-x-6\\=x^2+(-1)x-6\\=x^2+(-3+2)x-6\\=x^2-3x+2x-6\\=x(x-3)+2(x-3)\\=(x+2)(x-3)\\\Rightarrow y=(x+2)(x-3)`