Polynomial Graphs with Real and Complex Roots

Anika is analyzing a polynomial graph for her math project. She is particularly interested in the behavior of the graph at its zeros. She asks, 'Which zero will "bounce" off of the x-axis for x²(x - 1)(x + 2)(x + 3)?'

• 0

• 1

• -2

• -3

Michael is studying quadratic polynomials and is trying to determine which pair of values could not be the roots of a quadratic polynomial. Which pair should he choose?

• 3 and 14

• -5 and -5i

• -2 + 3i and -2 - 3i

• -14 and 14

In the above graph, which root has a multiplicity of 2?

• -1

• -4

• 2

• 4

What is the degree of a polynomial that has 5 real roots and 8 complex roots

• 5

• 8

• 13

• 40

What is the number of non-real complex roots of a degree 12 polynomial with 8 real roots?

• 4

• 8

• 12

• 20

What is the number of real roots of a degree 13 polynomial with 6 non-real complex roots?

• 6

• 7

• 13

• 19

Which of the following a possible number of  non-real complex roots in the above polynomial?

• 5

• 6

• 7

• 8

What is the degree of the above polynomial graph?

• 3

• 4

• 5

• 6

What is the number of non-real complex roots in the above polynomial graph?

• 2

• 3

• 4

• 5

Write the polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros: -5, 4i, -4i?

• x³-5x²+16x-80

• x³-5x²-16x-80

• x³+5x²-16x-80

• x³+5x²+16x+80