Jc4040
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Find the x-intercepts for the parabola defined by the equation below. y = x2 + 9x + 14

A. (-2, 0) and (-7, 0)


B. (9, 0) and (14, 0)



C. (0, -2) and (0, -7)


D. (0, 9) and (0, 14)

Respuesta :

SociometricStar

Answer:

x - intercepts are (-7,0) and (-2,0)

A is the correct option.

Step-by-step explanation:

We have been given the equation of the parabola [tex]y=x^2+9x+14[/tex]

For x- intercept, y = 0

[tex]0=x^2+9x+14[/tex]

We can split the middle term as 9x = 7x +2x

[tex]x^2+7x+2x+14=0[/tex]

Now take GCF

[tex]x(x+7)+2(x+7)=0[/tex]

Factored out the common term

[tex](x+7)(x+2)=0[/tex]

Apply the zero product property

[tex](x+7)=0,(x+2)=0[/tex]

Solve for x

[tex]x=-7,-2[/tex]

Hence, x - intercepts are (-7,0) and (-2,0)

A is the correct option.

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