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Mathematics
Jaron Conner
2 September, 13:00
Factor to find the zeros of 7x + 14-105
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Rihanna Beltran
2 September, 13:54
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I'm not sure if you're asking about a linear or quadratic equation here, so I'll write about both.
y = 7x + 14 - 105
First, we need to simplify this:
y = 7x - 91
We can now pull out a greatest common factor:
y = 7 (x - 13)
Now, a zero is any number x is set to that makes y equal 0.
In this case, the zero, or x-intercept, would be 13.
y = 7x² + 14x - 105
First, we should set y to 0:
7x² + 14x - 105 = 0
We can pull out a greatest common factor:
7 (x² + 2x - 15) = 0
Next, we can factor it into:
7 (x + 5) (x - 3) = 0
By the zero-factor property, both (x + 5) and (x - 3) are equal to zero, since their product is zero. The numbers that would make the equation true are - 5 and 3. The zeros are - 5 and 3.
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