emilybabe
contestada

What is the multiple zero and multiplicity of f(x)=x^3-14x^2+49x

A. Multiple zero = 0; multiplicity =2

B. Multiple zero = 7; multiplicity =2

C. Multiple zero = -7; multiplicity =2

D. Multiple zero = 0; multiplicity =3

Respuesta :

egoodrich1337
x^3 - 14x^2 + 49x = 0

Factor an x out:

x(x^2 - 14x + 49) = 0

Find two factors of 49 that add to -14 (-7 and -7). Convert the trinomial to two binomials:

x(x - 7)(x - 7) = 0

The zeros are:

x = 0 and x = 7.

7 occurs as a zero twice and therefore has a multiplicity of 2.

The zero of the equation is 0, 7 and 7 has multiplicity of 2, the correct answer is B.

What is a zero of an equation?

The point at which the value of the equation becomes zero is called the zero of an equation.

The equation is f(x) = x³ -14x²+49x

x ( x² -14x +49) = 0

x ( x² - 7x -7x +49 ) = 0

x ( x -7)² = 0

x = 0 , 7

7 has multiplicity of 2.

Therefore, the zero of the equation is 0, 7 and 7 has multiplicity of 2, the correct answer is B.

To know more about Zero of an Equation

https://brainly.com/question/944636

#SPJ2

Otras preguntas