15z+35=50 what is the answer to this
2 answers:
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Answer:
By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;
Step-by-step explanation:
The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6
The polynomial that divides the given polynomial is x + 1
Therefore, we have;
(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1
Expressing the result in the form , we have;
Answer:
relative maximum: x = 1
relative minimum: x = 7
Step-by-step explanation:
Critical points:
Values of x for which f'(x) = 0.
Second derivative test:
For a critical point, if f''(x) > 0, the critical point is a relative minimum.
Otherwise, if f''(x) < 0, the critical point is a relative maximum.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
Finding the critical points:
Simplifying by 3
So
Second derivative test:
The critical points are x = 1 and x = 7.
The second derivative is:
Since f''(1) < 0, at x = 1 there is a relative maximum.
Since f''(x) > 0, at x = 7 there is a relative minumum.