Answer:
Factoring
Step-by-step explanation:
x^2 + 7x = x(x + 7) = 0
So
x = 0 or x = -7
We need to multiply
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We need to use the distributive property to expand this:
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Let's multiply it out using this property, to get our answer:
Relative extrema occur where the derivative is zero (at least for your polynomial function).
So taking the derivative we get
<span>20<span>x3</span>−3<span>x2</span>+6=0
</span><span>
This is a 3rd degree equation, now if we are working with complex numbers this equation is guaranteed to have 3 solutions by the fundamental theorem of algebra. But the number of real roots are 1 which can be found out by using Descartes' rule of signs. So the maximum number of relative extrema are 1.</span>