\(f(x)=(x+3)(x-4)\) and \(g(x)=\frac13(x+3)(x-4)\). The graphs of each are shown here.
Coordinate plane, x, negative 4 to 5 by 1, y, negative 15 to 10 by 5. Parabola, solid, through negative 3 comma 0 & 4 comma 0, minimum at point 5 comma negative 12 point 2 5. Dotted parabola with same x-intercepts and minimum at point 5 comma negative 4 point 0 8 2 5.
Which graph represents which polynomial function? Explain how you know.
Problem 2
For each polynomial function, rewrite the polynomial in standard form. Then state its degree and constant term.
\(f(x)=(x+1)(x+3)(x-4)\)
\(g(x)=3(x+1)(x+3)(x-4)\)
Problem 3
Tyler incorrectly says that the constant term of \((x + 4)(x - 4)\) is 0.
What is the correct constant term?
What is Tyler’s mistake? Explain your reasoning.
Problem 4
Which of these standard form equations is equivalent to \((x+1)(x-2)(x+4)(3x+7)\)?