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Diego wrote \(f(x)=(x+2)(x-4)\) as an example of a function whose graph has \(x\)-intercepts at \(x=\text-4,2\). What was his mistake?
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?
\(f(x)=(x+1)(x+3)(x+4)\)
\(f(x)=(x+1)(x-3)(x+4)\)
\(f(x)=(x-1)(x+3)(x-4)\)
\(f(x)=(x-1)(x-3)(x-4)\)
Which expression is equivalent to \((3x + 2)(3x - 5)\)?
\(6x - 3\)
\(9x^2 - 10\)
\(9x^2 -3x - 10\)
\(9x^2-9x - 10\)
What is the value of \(6(x-2)(x-3)+4(x-2)(x-5)\) when \(x=\text-3\)?
Match each polynomial function with its leading coefficient.
\(P(x)=(x+2)(2x-3)(4x+7)\)
\(P(x)=\frac12(x-2)(2x-3)(4x+7)\)
\(P(x)=5(x-2)(2x-3)(4x+7)\)
\(P(x)=\text-(x-2)(2x-3)(4x+7)\)
\(P(x)=\frac{1}{4}(x+2)(2x-3)(4x+7)\)
40
8
4
2
-8
Match each graph with the quadratic equation that it represents.
Graph A
Graph B
Graph C
Graph D