Unit 2, Lesson 7
Using Factors and Zeros
Algebra 2
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Write a possible equation for a polynomial whose graph has horizontal intercepts at \(x=2,\text-\frac12,\text-3\).
Which polynomial function’s graph is shown here?
\(f(x)=(x+1)(x+3)(x+4)\)
\(f(x)=(x+1)(x-3)(x+4)\)
\(f(x)=(x-1)(x+3)(x-4)\)
\(f(x)=(x-1)(x-3)(x-4)\)
Match each graph with the quadratic equation that it represents.
Graph AA curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 2 comma 2, 0 comma 0, and 2 comma 6.
Graph BA curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 3 comma 3, negative 1 comma negative 2, and 0 comma 0.
Graph CA curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 2 comma negative 2, 0 comma 2, and 2 comma negative 2.
Graph DA curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 1 comma 1, 0 comma 0, 2 comma 2.