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    Question

    The graph of y = f(x), where f(x) is a quadratic

    polynomial meets thex-axis at A(–2, 0) and B(–3, 0), then the expression for f(x) is
    A x²– 5x + 6 Correct Answer Incorrect Answer
    B x² + 5x – 6 Correct Answer Incorrect Answer
    C x² – 5x – 6 Correct Answer Incorrect Answer
    D x²+ 5x + 6 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    We are given that the quadratic polynomial y=f(x) meets the x-axis at: Identify the Roots Since the graph touches the x-axis at x=−2 and x=−3, these are the roots of the quadratic equation. Write the Quadratic Expression A quadratic polynomial with roots x=−2 and x=−3 is = f(x) = k(x+2)(x+3), where k is a constant. Expand Hence, k (x2+5x+6), where k is any constant.

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