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ira [324]
3 years ago
15

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

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

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 y=x^2+9x+14

For x- intercept, y = 0

0=x^2+9x+14

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

x^2+7x+2x+14=0

Now take GCF

x(x+7)+2(x+7)=0

Factored out the common term

(x+7)(x+2)=0

Apply the zero product property

(x+7)=0,(x+2)=0

Solve for x

x=-7,-2

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

A is the correct option.

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