For this case we have a quadratic equation, , of the form
Where:
We can solve the equation by factoring, that is, we bias two numbers that multiplied give as a result -60 and added as a result 28.
These numbers are:
Then, the factorization is given by:
The roots are:
Answer:
The length of one of the sides of the larger pentagon is 24 cm. The length of one of the sides of the smaller pentagon is 8 cm.
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So, if the larger pentagon is 3x the size of the smaller pentagon, we can find the area of the smaller pentagon by dividing the area of the larger pentagon by 3.
÷
The area of the smaller pentagon is 45in²
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The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
<h3>How to determine the number of real zeros?</h3>The equation of the function is given as:
Expand the function
Reorder the terms
Factor the expression
Factor out x -1
Expand
Factorize
Factor out x + 2
The function has been completely factored and it has 3 linear factors
Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
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