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Factor the expression y = 4x − x2.

Mathematics

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Answer

y=x(4−x)y = x(4 - x)

Graph of y = 4x − x²

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Key points of y = 4x − x²
Pointxy
x-intercept00
Maximum24
x-intercept40

Step-by-step solution

2 steps

  1. Identify the common factor in the expression.

    The given expression is y=4x−x2y = 4x - x^2. Both terms, 4x4x and −x2-x^2, have xx as a common factor.

  2. Factor out the common factor xx.

    y=x(4)−x(x)y = x(4) - x(x) y=x(4−x)y = x(4 - x)
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