Finding Zeros of Polynomials with Synthetic Division

What is the first step in finding the zeros of a polynomial using a graphing calculator?

• Input the polynomial in y1

• Check the table of values

• Adjust the window settings

• Go to the graphing section

Where does the polynomial cross the x-axis according to the graph?

• At x = 2 and x = 3

• At x = -1 and x = 2

• At x = 1 and x = 2

• At x = 0 and x = 1

What does it mean when a polynomial crosses the x-axis at a certain point?

• The y-value is positive

• The y-value is negative

• The y-value is zero

• The x-value is zero

What are the coefficients used in the synthetic division for the polynomial?

• 1, 3, -6, -12, 8

• 1, -3, 6, -12, 8

• 1, 3, -6, 12, -8

• 1, -3, 6, 12, -8

What is the result of the synthetic division when x = 1 is used as a zero?

• The remainder is -1

• The remainder is 1

• The remainder is 2

• The remainder is 0

What happens to the degree of the polynomial after each synthetic division?

• It remains the same

• It increases by one

• It decreases by one

• It doubles

What is the quadratic equation obtained after performing synthetic division twice?

• x^2 - 2 = 0

• x^2 + 2 = 0

• x^2 - 4 = 0

• x^2 + 4 = 0

What are the remaining zeros of the polynomial after solving the quadratic equation x^2 + 4 = 0?

• ±2

• ±i

• ±2i

• ±4i

What formula is used to find the zeros when the middle term is not zero?

• Cubic formula

• Quadratic formula

• Linear formula

• Synthetic division

In the quadratic formula, what does 'b' represent?

• The discriminant

• The coefficient of x

• The constant term

• The coefficient of x^2