What does the A stand for in the star problem solving process
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The given function presents a local minimum in the coordinates (0,-1).
<h3>Factoring</h3>In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
For solving this question, the given equation should be rewritten from the factoring.
. Then, you have 3 equations.
From the Zero Factor Principle, you can write
Equation 1
(x+1)²=0
x+1=0
x= -1
Equation 2
x-1=0
x=1
Equation 3
x²-x+1=0
From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).
Read more about the factoring here:
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now, we know the tangent line at (2,4) is y = 8x - 12, now, that's already in slope-intercept form, so, the slope of that tangent at (2,4) is "8" then.
now, that means when x = 2, the slope is 8, so let's use that.