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Kiran saw that if the
equation (x + 2)(x - 4) = 0 is true, then, by the zero product property, either X + 2 is 0 or X - 4 is 0. He then reasoned that, if (x + 2)(x -
4) = 72 is true, then either x + 2 is equal to 72 or X-6 is equal to 72.
Explain why Kiran's conclusion is incorrect
Kiran is incorrect because the
product property only applies to products that are equal to
not ahoy product. Many pairs of factors can be multiplied to be 72. We can't be sure that one of the
factors is equal to 72

Respuesta :

ivycoveredwalls

Answer:

It's the zero product property. The product must be equal to zero, nothing else.

Step-by-step explanation:

If (x + 2)(x - 4) = 72, it does not mean that each factor could be equal to 72.

The number 72 has many factors (they come in pairs), and they need not even be integers, 1/2 and 144, for example.

On the other hand, if  ab = 0, then either  a = 0  or  b = 0.

Kiran is incorrect because the product property only applies to products that are equal to zero.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have:

(x+2)(x-4) = 0

According to zero product property either x+2 =0 or x-4 = 0

Now considering:

(x + 2)(x -4) = 72

It doesn't mean the x + 2 is equal to 72 or X-6 is equal to 72.

Because 72 may have different factors the zero product property the product must be zero.

Thus, Kiran is incorrect because the product property only applies to products that are equal to zero.

Learn more about quadratic equations here:

brainly.com/question/2263981

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