Question

Which inequality in factored form represents the region less than the quadratic function with zeros-40 and 50 and

Answer 1

Using the Factor Theorem, the inequality that represents the given region is:

$y < \frac{(x + 40)(x - 50)}{21}$

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots $x_1, x_2, \codts, x_n$ is given by:

$f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)$

In which a is the leading coefficient.

The roots are given as follows:

$x_1 = -40, x_2 = 50$

Hence:

y = a(x + 40)(x - 50)

It includes the point (-55,-75), hence:

-75 = a(-55 + 40)(-55 - 50)

a = 75/(15 x 105)

a = 1/21

Hence the region less than the equation is:

$y < \frac{(x + 40)(x - 50)}{21}$

More can be learned about the Factor Theorem at brainly.com/question/24380382

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