NC Math 3 N-CN.9

• The equation has one real solution.

• The solutions can only be determined by graphing.

• The equation has two real solutions.

• The equation has two non-real complex solutions.

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NC.M3.N-CN.9

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NC.M3.N-CN.9

Which statement is true about the zeros of a quadratic polynomial?

• The polynomial can have a maximum of 2 real zeros.

• There must be at least one complex zero for every real zero.

• If −5 and 4 are zeros, then the conjugates of −5 and 4 must also be zeros.

• If the polynomial has 3 zeros, it must have imaginary coefficients.

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NC.M3.N-CN.9

Which pair of values could not be the roots of a quadratic polynomial?

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NC.M3.N-CN.9

The graph represents a polynomial function. What is the lowest possible degree of the polynomial?

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NC.M3.N-CN.9

• It has exactly 4 roots, including any repeated roots, that must be real numbers.

• It has exactly 8 roots, including any repeated roots, that must be real numbers.

• It has exactly 4 roots, including any repeated roots, that may be either real or complex numbers.

• It has exactly 8 roots, including any repeated roots, that may be either real or complex numbers.

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NC.M3.N-CN.9

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NC.M3.N-CN.9

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NC.M3.N-CN.9

• 1 imaginary and 2 real solutions

• 2 imaginary and 1 real solutions

• 0 imaginary and 3 real solutions

• 3 imaginary and 0 real solutions

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NC.M3.N-CN.9

Which of the following polynomial functions have exactly 5 roots, including all real and imaginary roots?

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NC.M3.N-CN.9