Polynomial Test Quiz Review

Given the polynomial... create a list of possible integer zeros for the function @@f(x)=x^3-2x^2-11x+12@@.

• \pm1, \pm2, \pm3, \pm4, \pm6, \pm12

• \pm1, \pm2, \pm3, \pm5, \pm6, \pm10

• \pm1, \pm2, \pm3, \pm4, \pm5, \pm12

• \pm1, \pm2, \pm3, \pm4, \pm6, \pm8

Given the polynomial... state the number of turns at most.

• 1 turn at most

• 2 turns at most

• 3 turns at most

• 4 turns at most

Given the polynomial... $$f\left(x\right)=x^3-2x^2-11x+12$$ would it be helpful to generate a list using the Rational Zeros?

• Yes, it would provide additional insights into the roots.

• No, the leading coefficient is one, so the list from the Integer zeros would not change.

• Yes, it would help in identifying complex roots.

• No, Rational Zeros are only useful for quadratic polynomials.

Given the polynomial... sketch the graph of @@f(x)=x^3-2x^2-11x+12@@.

• 
• The graph is a straight line.

• The graph has two local maxima and one local minimum.

• The graph is a parabola.

• The graph will go up on the left and down on the right.

• The graph will go down on the left and up on the right.

• The graph will remain constant on both sides.

• The graph will oscillate between up and down.

Given the polynomial... state the y-intercept.

• (0, -12)

• (0, 0)

• (0, 12)

• (0, 6)

Given the polynomial... $$f\left(x\right)=x^3-2x^2-11x+12$$ According to Descarte's Rule of Signs, this polynomial graph should have how many positive zeros?

• One positive zero

• Two positive zeros

• Three positive zeros

• No positive zeros

Given the polynomial... $$f\left(x\right)=x^3-2x^2-11x+12$$ According to Descarte's Rule of Signs, this polynomial graph should have how many negative zeros?

• 0 negative zeros

• 1 negative zero

• 2 negative zeros

• 3 negative zeros

Given the polynomial... Identify the zeros of the function @@f(x)=x^3-2x^2-11x+12@@

• -3, 1, 4

• -2, 3, 5

• 0, 2, 6

• -1, 2, 3