0
How do you find the zeros of the function f of x equals -x to the power of 4 plus 6x to the power of 3 -9x to the power of 2 and their multiplicities?
You start by factoring the polynomial. Factoring a polynomial of degree 3 or higher can be very tricky; in this case it's almost trivial, because of the common factor (x squared). After separating this factor, you can factor whatever remains, perhaps by using the common rules for factoring a trinomial. If nothing else works, you can use the quadratic formula.Once you have the factors, you set the polynomial = 0, which means that the product of all the factors is equal to zero. Remember that this is only possible if one of the factors is zero.
This is what I think you are asking: f(x) = - (x^4) + 6(x³) - 9(x²) = 0. So you can factor out x² to get this: f(x) = (-x² + 6x - 9)(x²) = 0. So you have x=0 as a root (twice). Then you can factor the quadratic to get (-x² + 6x - 9) = (-1)((x² - 6x + 9) = (-1)(x - 3)(x - 3), which has x = 3 as a root (twice)
Add your answer:
Earn +20 pts
What are the zeros of a polynomial function?
the zeros of a function is/are the values of the variables in the function that makes/make the function zero. for example: In f(x) = x2 -7x + 10, the zeros of the function are 2 and 5 because these will make the function zero.
What are the zeros of a linear function?
The zeros, or roots, of a linear function is the point at which the line touches the x-axis. Since a linear function is a straight line, it has a maximum of one root (zero). The zero of a function can be determined by the highest degree (power) of the function. Since linear functions are only raised to the power of one, one is the total number of times the line can touch the x-axis. If you function is a horizontal line, it has no root, or zero.
How can you use a graph to find zeros of a quadratic function?
The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
What happens if there are no zeros in a quadratic function?
Whether or not a function has zeros depends on the domain over which it is defined.For example, the linear equation 2x = 3 has no zeros if the domain is the set of integers (whole numbers) but if you allow rational numbers then x = 1.5 is a zero.A quadratic function such as x^2 = 2 has no rational zeros, but it does have irrational zeros which are sqrt(2) and -sqrt(2).Similarly, a quadratic equation need not have real zeros. It will have zeros if the domain is extended to the complex field.In the coordinate plane, a quadratic without zeros will either be wholly above the horizontal axis or wholly below it.
How you can use the zeros of the numerator and the zeros of the denominator of a rational function to determine whether the graph lies below or above the x-axis in a specific interval?
Discuss how you can use the zeros of the numerator and the zeros of the denominator of a rational function to determine whether the graph lies below or above the x-axis in a specified interval?
How many zeros can you have in an algebraic function?
For an algebraic function in one variable, as many as the highest power of the variable.
What are the zeros of a polynomial function?
the zeros of a function is/are the values of the variables in the function that makes/make the function zero. for example: In f(x) = x2 -7x + 10, the zeros of the function are 2 and 5 because these will make the function zero.
What number equals ten to the fourth power?
when multiplying "to the power of" with tens, you just add up the zeros, so 10 to the fourth power would be 10,000.
What are integral zeros?
The integral zeros of a function are integers for which the value of the function is zero, or where the graph of the function crosses the horizontal axis.
What are zeros of the Function?
The zeros, or roots, of a linear function is the point at which the line touches the x-axis. Since a linear function is a straight line, it has a maximum of one root (zero). The zero of a function can be determined by the highest degree (power) of the function. Since linear functions are only raised to the power of one, one is the total number of times the line can touch the x-axis. If you function is a horizontal line, it has no root, or zero.
What are the zeros of a function?
The zeros, or roots, of a linear function is the point at which the line touches the x-axis. Since a linear function is a straight line, it has a maximum of one root (zero). The zero of a function can be determined by the highest degree (power) of the function. Since linear functions are only raised to the power of one, one is the total number of times the line can touch the x-axis. If you function is a horizontal line, it has no root, or zero.
A billion equals how many zeros?
1 billion has 9 zeros.
What is function of zeros command in matlab?
zeros makes a matrix of the specified dimension, filled with zeros.
One million equals how many thousands?
1,000,000 = 1000 thousands. 1,000,000 divided by 1000 equals 1000. The trick is to add up the Zeros on the number. E.G: 10,000 (4 Zeros) multiplied by 1,000 (3 Zeros) equals 10,000,000 (7 Zeros)
What are the zeros of a linear function?
The zeros, or roots, of a linear function is the point at which the line touches the x-axis. Since a linear function is a straight line, it has a maximum of one root (zero). The zero of a function can be determined by the highest degree (power) of the function. Since linear functions are only raised to the power of one, one is the total number of times the line can touch the x-axis. If you function is a horizontal line, it has no root, or zero.
What are the zeros of the function f of x equals 5x cubed minus x squared minus 18x plus 8?
-2, 1.74 and 0.46
How can you use the zeros of a function to find the maximum or minimum value of the function?
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
