Purchase Solution

Finding a zero of a polynomial function

Not what you're looking for?

Ask Custom Question

Finding a zero of a polynomial function.
I know that we the zeros by setting f(x) equal to 0 and solving the equation. The book only gives two examples--so I am pretty much stuck. The problem is:
f(x)=2(x-5)(x+4)^2 This is what I have done so far--
0=2(x-5)(x+4)^2
0=2(x-5) + (x+4)^2.

Purchase this Solution
Solution Summary

The solution provides a detailed and step-by-step explanation of finding a zero of a polynomial function.

Solution Preview

You first equate the f(x) to be equal zero

f(x)=2(x-5)(x+4)^2 = 0.

Because this function has the product form, it will be zero when the individual ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Polynomial functions, complex zeros

    (please see the attached file) Remember: (please see the attached file) This solution involves finding a polynomial function based on its zeros and finding all the zeros of a given function.

  • Polynomial Functions and Intermediate Value Theorem

    Use the intermediate value theorem to show that the polynomial function has a zero in the given interval.

  • Polynomials and Rational Theorem Algebra Questions

    Find a bound on the real zeros of the polynomial function f(x)=x4+x3-4x-6 Every real zero of f lies between -2______ and____2__. 2. Use the intermediate value theorem to show that the polynomial function has a zero in the given interval.

  • Using Rational Zero Theorem for finding Roots of a Polynomial

    655082 Using Rational Zero Theorem for finding Roots of a Polynomial Use the Rational Zero Theorem to find all zeros of the following polynomials.

  • Properties of Continuous Functions

    362895 Continuous functions 1.Show that a polynomial function is continuous at every point of R. 2. Show that a rational function (a quotient of two polynomial functions) at every point where it is defined. Please see the attachment. 1.

  • Polynomials - Horner's Method, etc.

    d) Numerical integration schemes are derived by piecewise polynomial interpolation of a function.

  • 5 Questions on Graphing Quadratics and Inequalities

    Find the zero for the following polynomial function and give the multipilicty for each zero. For each zero, state whether the graph crosses the x-axis or touches the x-axis and turns around.

  • Taylor Polynomials,Planck's Law and Rayleigh-Jeans Law

    The trick is that if we just let lambda go to infinity then both Plancks Law and Rayleigh-Jeans Law go to zero (you showed this is Question #1). This is an example of finding the 'asymptotic behaviour' of a function.

  • Polynomial Rational Function Zeros Calculation

    USE THE RATIONAL ZERO THEOREM TO FIND ALL POSSIBLE RATIONAL ZEROS OF THE POLYNOMIAL: g(x) = -3x cubic -8x squared +x+ 14 g(x) = -3x3 - 8x2 + x + 14 Rational Zero Theorem: A polynomial with a degree of has rational zero where p = divisors of and

View More Related Solutions