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Math Help - help please

  1. #1
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    help please

    4. Function p is described as p(x) = (x 2)(4 x)(x + 1).
    What is the order of function p and what name describes this type of polynomial?

    What is the constant term of function p?
    Sketch the curve y = p(x) showing clearly the coordinates of the points where the curve meets both the axes.
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  2. #2
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    Quote Originally Posted by Koops View Post
    4. Function p is described as p(x) = (x 2)(4 x)(x + 1).
    What is the order of function p and what name describes this type of polynomial?
    What is the constant term of function p?
    Sketch the curve y = p(x) showing clearly the coordinates of the points where the curve meets both the axes.
    1. The degree is three. It's a cubic. Google that term to find many examples.

    2. Partially expand it to see the constant term: (-2)(4)(1) = -8.

    3. Use the null factor law to get the x-intercepts. Substitute x = 0 to get the y-intercept (you will, unsurprisingly, y = -8). Be careful with the shape ..... Note that as x --> +oo, y --> -oo and as x --> -oo, y --> +oo.
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