The connection between factors and zeros is pretty simple, the zeros that you find from an equation is the factored function of that same equation. For example in the equation above, the zeros that were found are the numbers used in the factored form of the polynomial. Division helps us factor polynomials because it is a quicker way to find the solutions. The degree of the polynomial helps to predict the number of zeros by telling us in the highest degree, in the polynomial above the highest degree is 4, therefore that polynomial should have 4 zeros. Even though it does not look like it this polynomial has 4 zeros. There is one repeating zero in this equation which you would find out when using division (another reason division helps us factor polynomials). The highest power of the degree may not always tell us the number of factors because, like the example, there could be a repeated zero. Also it may not give the number of factors because it could be something that gives you an "ugly" square root or an imaginary solution.
The connection between factors and zeros is pretty simple, the zeros that you find from an equation is the factored function of that same equation. For example in the equation above, the zeros that were found are the numbers used in the factored form of the polynomial. Division helps us factor polynomials because it is a quicker way to find the solutions. The degree of the polynomial helps to predict the number of zeros by telling us in the highest degree, in the polynomial above the highest degree is 4, therefore that polynomial should have 4 zeros. Even though it does not look like it this polynomial has 4 zeros. There is one repeating zero in this equation which you would find out when using division (another reason division helps us factor polynomials). The highest power of the degree may not always tell us the number of factors because, like the example, there could be a repeated zero. Also it may not give the number of factors because it could be something that gives you an "ugly" square root or an imaginary solution.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. Archives
September 2015
Categories |