{
    "quiz": {
        "name": "3_3 Solving Polynomial Equations",
        "intro": "<p>Linear and quadratic equations, dealt within Quizzes 3.1 and 3.2, are members of a class of equations, called <b>polynomial&nbsp;<\/b><b>equations<\/b>. These have the general form:<\/p><p>\\( \\qquad a_nx^n + a_{n-1}x^{n-1} + \\ldots +a_2x^2+a_1x+a_0=0 \\)<\/p><p>in which \\(x\\) is a variable and \\(a_n\\), \\(a_{n-1}\\), ..., \\(a_2\\), \\(a_1\\), \\(a_0\\) are given constants. Also \\(n\\) must be a positive integer and \\(a_n \\ne 0\\). Examples include \\(x^3+7x^2+3x-2=0\\), \\(5x^4-7x^2=0\\), and \\(-x^6+x^5-x^4=0\\). In this quiz you will learn how to factorise some polynomial expressions and solve some polynomial equations.<\/p>",
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            "firstslot": "1",
            "heading": "Multiplying polynomials together",
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            "heading": "Factorising polynomials and equating coefficients",
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            "firstslot": "6",
            "heading": "Polynomial equations",
            "shufflequestions": 0
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        {
            "firstslot": "8",
            "heading": "Solving polynomial equations when one solution is known",
            "shufflequestions": 0
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        {
            "firstslot": "12",
            "heading": "Solving polynomial equations graphically",
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