Precalculus Midterm

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• 11
• 7
• 5

• Maximum number of real zeros: 2; Maximum number of relative extrema: 3.
• Maximum number of real zeros: 1; Maximum number of relative extrema: 1.
• Maximum number of real zeros: 4; Maximum number of relative extrema: 0.
• Maximum number of real zeros: 3; Maximum number of relative extrema: 2.

• x = 1, x = 1, x = -3

• x = 1, x = -1, x = -3
• x = 1, x = -1, x = 3

• x = -1, x = -1, x = -3

Tags

CCSS.HSF-IF.C.7C

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• 50
• -30

• 10

• Positive zeros: 3 or 1; Negative zeros: 1.
• Positive zeros: 1; Negative zeros: 2 or 0.
• Positive zeros: 4; Negative zeros: 0.
• Positive zeros: 2 or 0; Negative zeros: 3.

Write a standard form polynomial of least degree with integral coefficients

that has the given zeros for the polynomial p(x) has rational coefficients and zeros of 3 and 1 + √ 2 .

• x^3 - 5x^2 + 5x + 3

• x^3 - 3x^2 + 3x + 5
• x^3 - 6x^2 + 9x - 2
• x^3 - 4x^2 + 2x + 1

• Vertical asymptote at x = 1; horizontal asymptote at y = 0; point discontinuity at x = 2.
• No vertical asymptote; horizontal asymptote at y = 1; point discontinuity at x = 2.
• Vertical asymptote at x = 3; horizontal asymptote at y = 2; no point discontinuities.
• Vertical asymptote at x = 2; horizontal asymptote at y = 1; no point discontinuities.