The volume of the prism is modeled by v(x) = x³ - 13x² + 35x
Polynomial
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.
Given the equation:
From the graph the x intercept is the point at which the polynomial touches the x axis. We can see it at:
x = 0, 5, 7
x = 0; x = 5; x = 7
x = 0; x - 5 = 0; x - 7 = 0
v(x) = x(x - 5)(x - 7)
The volume of the prism is modeled by v(x) = x³ - 13x² + 35x
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