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

User Fqdn
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1 Answer

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Answer:


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)

User Dasfima
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