\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 coefficient. For example, the first term consists of 4 multiplied with \\(x^0\\) (recall \\(x^0 =1\\) so this is the 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 of the highest power term in the polynomial is called the degree of the polynomial.\r\n The degree of a polynomial is also known as the order 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 of this term is 2. Thus, the degree of this polynomial is 2.\r\n
\r\n\n Through this MagicGraph, students will learn about the coefficients of a polynomial: what are they and how to find them. So, let's get started.\r\n
\r\n\r\n You are given a polynomial f(x) that consists of three terms.\r\n The three terms of the polynomial are marked as 1, 2 or 3.\r\n Your task is to identify the coefficients of the three terms of the polynomial.\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
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