anonymous12 said:y = k (x+5)(x+1)(x-2)(x-4)
anonymous12 said:Expanded form: f(x)=kx^4 + 9x^2 - 38x + 40 <---My expanded form is most likely wrong because expanding a quartic function tends to get clustered and confusing.
I wouldn't even expand yet. I would find k first by plugging 3 and -8 for x and y into the factored form. Then I would multiply out the factors, and distribute the k value last.anonymous12 said:y = k (x+5)(x+1)(x-2)(x-4)
Expanded form...
A polynomial function is a mathematical expression consisting of variables and coefficients, with only the operations of addition, subtraction, and multiplication. It is written in the form of ax^n + bx^(n-1) + ... + cx + d, where n is a positive integer and a, b, c, and d are constants.
To solve a word problem involving polynomial functions, you first need to identify the variables and their relationships. Then, create a polynomial equation representing the given information. Finally, use algebraic methods to solve for the unknown variable.
Sure, here is an example: A farmer has a rectangular field with a length 4 meters longer than its width. If the perimeter of the field is 40 meters, what are the dimensions of the field? To solve this, we can create the polynomial equation 2x + 2(x+4) = 40, where x represents the width. Solving for x, we get x = 8, so the field has dimensions of 8 meters by 12 meters.
Polynomial functions are commonly used to model real-life situations, such as population growth, financial investments, and physics problems. They can also be used to analyze and predict data in various fields, including economics, biology, and engineering.
The three main types of polynomial functions are linear (degree 1), quadratic (degree 2), and cubic (degree 3). Other types include quartic (degree 4), quintic (degree 5), and higher degree polynomials. They can also be classified as monomials, binomials, and trinomials based on the number of terms in the expression.