Answer:
A. x = 5 or 7
B. these are zeros of the quadratic
Step-by-step explanation:
A) To factor this equation, we look for factors of +35 that have a total of -12. We know that ...
35 = (-1)(-35) = (-5)(-7)
The latter factor pair has a total of -12, so we can use those in the binomial factors:
(x -5)(x -7) = 0
The solutions are the values of x that make these factors be zero:
x = 5 or x = 7
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B) The graph of the quadratic on the left of the equal sign is shown in the attachment. The solution values are the values of x where that graph crosses the x-axis, where the quadratic is equal to 0. This should come as no surprise, since we're solving the equation x^2 -12x +35 = 0.
