Fundamental Theorem of Algebra

State how many of each type of possible solution the following polynomial has

f(x) = -4x⁴ + x³ +11x² - 4x + 8

• Positive: 3 or 1

  Negative: 1

• Positive: 3

  Negative: 1

• Positive: 1

  Negative: 3 or 1

• Positive: 1

  Negative: 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

How many possible negatives solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

Tags

CCSS.HSA.APR.B.3

If 2i is a zero, then

• 2i repeats twice
• -2i is a zero too
• 1-2i is a zero too
• 0+2i is a zero too

Tags

CCSS.HSN.CN.C.9

Write a polynomial function of least degree with integral coefficients that has the given zeros.

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• 
• 

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients that has the given zeros.

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Write a cubic polynomial in standard form with roots 3 and 4i

• x³-3x²+16x-48
• x³-8x²-3x+52
• x³+3x²+3x+1
• x³+3x²-16x+48

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.8

Write a cubic polynomial in standard form with roots -4, 2+3i

• x³-3x+52
• x³-8x²-3x+52
• x³+8x²-3x+52
• x³-29x+52

Find the polynomial equation with given zeros.

• x³-x²+4x+4

• x³+x²+4x+4

• x³-x²-4x+4

• x³+x²+4x-4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3