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\(f(x)=(x+3)(x-4)\) and \(g(x)=\frac13(x+3)(x-4)\). The graphs of each are shown here.
For each polynomial function, rewrite the polynomial in standard form. Then state its degree and constant term.
Tyler incorrectly says that the constant term of \((x + 4)(x - 4)\) is 0.
Which of these standard form equations is equivalent to \((x+1)(x-2)(x+4)(3x+7)\)?
\(x^4 + 10x^3 + 15x^2 - 50x - 56\)
\(x^4 + 10x^3 + 15x^2 - 50x + 56\)
\(3x^4 + 16x^3 + 3x^2 - 66x - 56\)
\(3x^4 + 16x^3 + 3x^2 - 66x + 56\)
Select all polynomial expressions that are equivalent to \(5x^3 +7x - 4x^2 + 5\).
\(13x^{5}\)
\(5x^3 - 4x^2 + 7x + 5\)
\(5x^3 + 4x \boldcdot 2 + 7x + 5\)
\(5 + 4x - 7x^2 + 5x^3\)
\(5 + 7x - 4x^2 + 5x^3\)
Select all the points that are relative maximums of this graph of a polynomial function.
Point \(A\)
Point \(B\)
Point \(C\)
Point \(D\)
Point \(E\)
Point \(F\)
Point \(G\)
What are the \(x\)-intercepts of the graph of \(y=(3x+8)(5x-3)(x-1)\)?
Mai drew a diagram to expand \((x+4)(3x+1)\).
| \(3x\) | 1 | |
|---|---|---|
| \(x\) | \(3x^2\) | \(x\) |
| 4 | \(7x\) | 5 |