I don't know of any particularly easy way. When multiplied out you have some pretty big coefficients and a very large constant term.matematikuvol said:Homework Statement
Find [tex]x[/tex]
[tex](17-x)^2(11-x)+256-32(17-x)-64(11-x)=0[/tex]
Homework Equations
The Attempt at a Solution
This eq has 3 solutions. I solved this by multiplication. Is this some other easier way. Perhaps to group some of the factors [tex]17-x[/tex] and [tex]11-x[/tex]. Tnx for the answer.
A polynomial is an algebraic expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. It can have multiple terms and the degree of a polynomial is determined by the highest exponent in the expression.
To simplify a polynomial, you need to combine like terms by adding or subtracting the coefficients of the terms with the same variables and exponents. You can also use the distributive property to simplify expressions within parentheses. Once all like terms have been combined, the polynomial is in its simplest form.
A monomial is a polynomial with only one term, a binomial has two terms, and a trinomial has three terms. These terms can be combined using addition, subtraction, and multiplication to form a polynomial.
To factor a polynomial, you need to find the greatest common factor (GCF) of all the terms and divide each term by the GCF. Then, use the distributive property to factor out the GCF. You can also use other methods like grouping, the difference of squares, and the sum/difference of cubes to factor polynomials.
The remainder theorem states that when a polynomial f(x) is divided by x - a, the remainder is equal to f(a). In other words, if you divide a polynomial by a linear expression, the remainder will be the value of the polynomial when the variable is replaced by the constant in the linear expression.