\r\n Let's start with recalling that a polynomial is an algebraic expression containing one or multiple terms. As an example — consider the polynomial expression\r\n shown below.\r\n $$p(x) = 4 + 4 x + x^2$$\r\n This polynomial expression contains three terms: \\(4\\), \\(4 x\\), and \\(x^2\\). Each term consists of\r\n an integer power of variable \\(x\\) multiplied with a constant called coefficient. For example, the first term consists of 4 multiplied with \\(x^0\\) (note that \\(x^0 =1\\) so the first term is essentially a constant term).\r\n The second term consists of 4 multiplied with \\(x^1\\) (note that \\(x^1\\) is commonly written as \\(x\\)).\r\n The last term consists of 1 multiplied with \\(x^2\\).\r\n
\r\n\n The exponent (also known as power) of the highest power term in a polynomial is called the order of the polynomial.\r\n The order of a polynomial is sometimes also known as the degree of the polynomial. For example, in the polynomial expression\r\n \\(p(x) = 4 + 4 x + x^2\\), the highest power term is \\(x^2\\). The exponent (power) of this term is 2. Thus, the degree of this polynomial = 2.\r\n
\r\n\n Through this MagicGraph, students will learn about the order of a polynomial: what it is and how to determine it.\r\n Students will be able to generate different order polynomials and practice their understanding of the degree of a polynomial.\r\n
\r\n\r\n You are given a polynomial f(x) consisting of three terms.\r\n The various terms of the polynomial are marked as 1, 2 or 3 depending on the order of their occurrence.\r\n Your task is to identify the highest degree term: its location (1, 2 or 3), its coefficient, and its degree (power).\r\n Enter your answers in the blue boxes provided.\r\n
\r\n\r\n Each time you tap on the shuffle button, the MagicGraph generates a new polynomial.\r\n Enter your answers for the three questions in the blue boxes.\r\n Tap on the test button to check your answer. Practice as many times as you want.\r\n
\r\n