Question

1 1. Find the x-intercepts for y= 2(x - 7)(x+2)?

Show work here
a. (-7.0) and (2,0)
b. (7.0) and (-2, 0)
c. (14,0) and (-4.0)
d. (14,0) and (-2, 0)
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Answer 1

`b.) (7,0) and (-2,0)`

Explanation:

To find the x-intercept, substitute 0 for y and solve for x:

`0=2(x-7)`

Divide both sides by 2:

`(0)/(2)=(2(x-7))/(2)`

`0=x-7`

Add 7 to both sides to isolate x:

`0+7=x-7+7\\7=x`

The x-intercept for
`y=2(x-7)` is 7 at point
`(7,0)`.

`0=(x+2)`

Remove parentheses:

`0=x+2`

Subtract 2 from both sides:

`0-2=x+2-2`

`-2=x\\x=-2`

The x-intercept for
`y=(x+2)` is -2 at point
`(-2,0)`.

Finito.